1.
The table above is a series of values for an equation of the form .
What type of graph will it create?
Correct Answer
A. Linear (n=1)
Explanation
The table represents values for an equation of the form y = mx + b, which is the equation of a straight line. The value of n in the equation determines the shape of the graph. Since n = 1, it indicates a linear relationship between the variables x and y. Therefore, the graph created by these values will be a straight line.
2.
The table above is a series of values for an equation of the form .What type of graph will it create?
Correct Answer
B. Hyperbolic (n=-1)
Explanation
The given table represents values for an equation of the form y = 1/x. When graphed, this equation will create a hyperbolic graph. The negative exponent of -1 indicates that the graph will have a horizontal asymptote at y = 0 and will approach the x-axis as x approaches infinity or negative infinity.
3.
The table above is a series of values for an equation of the form .What type of graph will it create?
Correct Answer
A. Linear (n=1)
Explanation
The given table represents values for an equation of the form y = mx + b, where m is the slope and b is the y-intercept. A linear equation has a constant slope, which means that the graph will be a straight line. Since the equation has a slope of 1 (n=1), the graph will have a 45-degree angle and will be a linear graph.
4.
The table above is a series of values for an equation of the form .What type of graph will it create?
Correct Answer
A. Linear (n=1)
Explanation
The table represents values for an equation of the form y = mx + b, where m is the slope of the line and b is the y-intercept. Since the values in the table follow a linear pattern, where the y-values increase or decrease at a constant rate as the x-values increase or decrease, the graph created by this equation will be a straight line. Therefore, the correct answer is Linear (n=1).
5.
The table above is a series of values for an equation of the form .What type of graph will it create?
Correct Answer
A. Linear (n=1)
Explanation
The table represents values for an equation of the form y = mx + b, where m is the slope and b is the y-intercept. A linear graph is characterized by a constant rate of change, meaning that the y-values increase or decrease at a consistent rate as the x-values change. Since the equation is of the form y = mx + b, where n = 1, it indicates that the graph will be a straight line with a slope of 1. Therefore, the correct answer is Linear (n=1).
6.
The table above is a series of values for an equation of the form .What type of graph will it create?
Correct Answer
A. Linear (n=1)
Explanation
The table above represents values for an equation of the form y = mx + b, where m is the slope and b is the y-intercept. In a linear equation, the graph will be a straight line, which is the case for the given values. Therefore, the correct answer is Linear (n=1).
7.
The table above is a series of values for an equation of the form .What type of graph will it create?
Correct Answer
E. Cubic (n=3)
Explanation
The given table represents values for an equation of the form y = ax^3 + bx^2 + cx + d. This is a cubic equation because the highest power of x is 3. The graph of a cubic equation is a curve that can have multiple turning points and can be either concave up or concave down. Therefore, the correct answer is Cubic (n=3).
8.
The table above is a series of values for an equation of the form .What type of graph will it create?
Correct Answer
C. Parabolic (n=2)
Explanation
The given table represents a series of values for an equation of the form y = ax^2 + bx + c, which is a quadratic equation. A quadratic equation creates a parabolic graph when plotted on a coordinate plane. Therefore, the correct answer is Parabolic (n=2).
9.
The table above is a series of values for an equation of the form .What type of graph will it create?
Correct Answer
B. Hyperbolic (n=-1)
Explanation
The table above represents values for an equation of the form y = 1/x. This equation is a hyperbola, which is a type of graph that has two branches that curve away from each other. The negative exponent of -1 indicates that the graph will be a reciprocal function, meaning that as x approaches infinity or negative infinity, y approaches 0. Therefore, the correct answer is Hyperbolic (n=-1).
10.
The table above is a series of values for an equation of the form .What type of graph will it create?
Correct Answer
B. Hyperbolic (n=-1)
Explanation
The given table represents values for an equation of the form y = 1/x. This equation is a hyperbolic function, specifically a reciprocal function. The graph of a reciprocal function is a hyperbola, which is a curve that approaches but never touches the x and y axes. The negative value of n (-1) indicates that the graph will be reflected across the x-axis. Therefore, the correct answer is Hyperbolic (n=-1).
11.
The table above is a series of values for an equation of the form .What type of graph will it create?
Correct Answer
B. Hyperbolic (n=-1)
Explanation
The table of values for the equation suggests that the relationship between the variables is not linear, as the values do not increase or decrease at a constant rate. Additionally, the values do not form a parabolic shape, as the rate of change is not consistent. The values also do not exhibit a cubic relationship, as the values do not increase or decrease rapidly. However, the values do show a pattern that resembles a hyperbolic shape, with the values decreasing rapidly at first and then leveling off. Therefore, the graph created by this equation is likely to be hyperbolic.
12.
The table above is a series of values for an equation of the form .What type of graph will it create?
Correct Answer
B. Hyperbolic (n=-1)
Explanation
The table represents values for an equation of the form y = 1/x. This is a hyperbolic function with a negative exponent, which creates a hyperbolic graph.
13.
The table above is a series of values for an equation of the form .What type of graph will it create?
Correct Answer
D. Truncus (n=-2)
Explanation
The table represents values for an equation of the form y = x^(-2), which is a negative exponent. This equation represents a reciprocal function, where the graph will have a vertical asymptote at x = 0 and will approach zero as x approaches positive or negative infinity. The graph will have a curve that opens upward and will be symmetrical about the y-axis. Therefore, the correct answer is Truncus (n=-2).
14.
The table above is a series of values for an equation of the form .What type of graph will it create?
Correct Answer
C. Parabolic (n=2)
Explanation
The table above represents values for an equation of the form y = ax^2. This equation represents a parabolic graph, where the values of y increase or decrease as x is squared. The given answer, Parabolic (n=2), correctly identifies the type of graph that will be created based on the equation.
15.
The table above is a series of values for an equation of the form .What type of graph will it create?
Correct Answer
C. Parabolic (n=2)
Explanation
The given table represents values for an equation of the form y = ax^2, which is a quadratic equation. In a quadratic equation, the graph created is a parabola. Therefore, the correct answer is Parabolic (n=2).
16.
The table above is a series of values for an equation of the form .What type of graph will it create?
Correct Answer
C. Parabolic (n=2)
Explanation
The table represents values for an equation of the form y = ax^2. This equation represents a parabola, which is a U-shaped curve. The value of n in the answer choice "Parabolic (n=2)" indicates that the equation has a squared term, resulting in a parabolic graph.
17.
The table above is a series of values for an equation of the form .What type of graph will it create?
Correct Answer
C. Parabolic (n=2)
Explanation
The table represents values for an equation of the form y = ax^2. The equation y = ax^2 represents a parabolic graph. Therefore, the given table will create a parabolic graph.
18.
The table above is a series of values for an equation of the form .What type of graph will it create?
Correct Answer
D. Truncus (n=-2)
19.
The table above is a series of values for an equation of the form .What type of graph will it create?
Correct Answer
D. Truncus (n=-2)
Explanation
The table of values suggests that the equation is of the form y = x^(-2), which represents a reciprocal function. A reciprocal function has a graph that is a hyperbola, and specifically, when the exponent is negative, it is a type of hyperbola called a truncus. Therefore, the correct answer is Truncus (n=-2).
20.
The table above is a series of values for an equation of the form .What type of graph will it create?
Correct Answer
D. Truncus (n=-2)
Explanation
The table represents values for an equation of the form y = x^(-2), where x is the independent variable and y is the dependent variable. This equation represents a hyperbolic graph with a negative exponent, resulting in a curve that approaches but never reaches the x-axis. Therefore, the correct answer is Truncus (n=-2).
21.
The table above is a series of values for an equation of the form .What type of graph will it create?
Correct Answer
D. Truncus (n=-2)
Explanation
The given table represents an equation of the form y = x^(-2), which is a type of graph known as a Truncus. In this type of graph, as the value of x approaches zero, the value of y approaches positive infinity. As x becomes negative, the value of y becomes smaller but never reaches zero. This behavior creates a graph that resembles a curve that is truncated at the y-axis. Therefore, the correct answer is Truncus (n=-2).
22.
The table above is a series of values for an equation of the form .What type of graph will it create?
Correct Answer
E. Cubic (n=3)
Explanation
The given table represents values for an equation of the form y = ax^3 + bx^2 + cx + d, where n is the highest power of x in the equation. Since the highest power of x in the equation is 3, the graph created by this equation will be a cubic graph.
23.
The table above is a series of values for an equation of the form .What type of graph will it create?
Correct Answer
E. Cubic (n=3)
Explanation
The table represents values for an equation of the form y = ax^3 + bx^2 + cx + d, where n is the degree of the polynomial. Since the table corresponds to a cubic equation, with the values increasing and then decreasing, the graph created will be a cubic graph.
24.
The table above is a series of values for an equation of the form .What type of graph will it create?
Correct Answer
E. Cubic (n=3)
Explanation
The given equation of the form n=3 represents a cubic function. A cubic function is a type of graph that has a degree of 3, meaning it has an exponent of 3 on the variable. This type of graph typically has a curved shape and can have either one or two turning points. Since the equation in the table has a degree of 3, it will create a cubic graph.
25.
The table above is a series of values for an equation of the form .What type of graph will it create?
Correct Answer
E. Cubic (n=3)
Explanation
The table values represent an equation of the form y = ax^3 + bx^2 + cx + d, where n is the highest power of x. Since the highest power of x in the equation is 3, the graph created by these values will be a cubic graph.
26.
The table above creates an equation of the form .What are the values for 'k' and 'n' for this equation? comma/space separated ie. 7, 3
Correct Answer
2, 1
27.
The table above creates an equation of the form .What are the values for 'k' and 'n' for this equation? comma/space separated ie. 7, 3
Correct Answer
2, -1
Explanation
The table above represents an equation of the form kx + n = y. By looking at the given values in the table, we can determine that k is equal to 2 and n is equal to -1. This is because when we substitute the values of x and y from the table into the equation, we get 2x - 1 = y, which matches the values in the table. Therefore, the values for k and n in this equation are 2 and -1 respectively.
28.
The table above creates an equation of the form .What are the values for 'k' and 'n' for this equation? comma/space separated ie. 7, 3
Correct Answer
-3, 1
Explanation
The equation in the table above is of the form kx + ny = 0. From the given answer, we can conclude that the values for k and n in this equation are -3 and 1 respectively.
29.
The table above creates an equation of the form .What are the values for 'k' and 'n' for this equation? comma/space separated ie. 7, 3
Correct Answer
-1, 1
Explanation
The values for 'k' and 'n' in the equation are -1 and 1 respectively.
30.
The table above creates an equation of the form .What are the values for 'k' and 'n' for this equation? comma/space separated ie. 7, 3
Correct Answer
3, 1
31.
The table above creates an equation of the form .What are the values for 'k' and 'n' for this equation? comma/space separated ie. 7, 3
Correct Answer
2, 2
Explanation
The table above represents an equation of the form y = kx^n. By observing the values in the table, we can see that when x = 2, y = 2. This means that k = 2 and n = 2, as they are the values that satisfy the equation.
32.
The table above creates an equation of the form .What are the values for 'k' and 'n' for this equation? comma/space separated ie. 7, 3
Correct Answer
-1, -1
33.
The table above creates an equation of the form .What are the values for 'k' and 'n' for this equation? comma/space separated ie. 7, 3
Correct Answer
-2, -1
Explanation
The equation is of the form kx + ny = 0. From the given table, we can see that when x = -2, y = -1. Therefore, the values for k and n in this equation are -2 and -1 respectively.
34.
The table above creates an equation of the form .What are the values for 'k' and 'n' for this equation? comma/space separated ie. 7, 3
Correct Answer
-3, -1
Explanation
The table above creates an equation of the form kx + n = y. By observing the values in the table, we can determine that k = -3 and n = -1. This is because for each x value, when we multiply it by -3 and then subtract 1, we get the corresponding y value in the table.
35.
The table above creates an equation of the form .What are the values for 'k' and 'n' for this equation? comma/space separated ie. 7, 3
Correct Answer
3, -1
Explanation
The equation is of the form kx + ny = 0. By comparing the given values, we can determine that k = 3 and n = -1.
36.
The table above creates an equation of the form .What are the values for 'k' and 'n' for this equation? comma/space separated ie. 7, 3
Correct Answer
2, -2
37.
The table above creates an equation of the form .What are the values for 'k' and 'n' for this equation? comma/space separated ie. 7, 3
Correct Answer
-1/2, 2
-0.5, 2
-.5, 2
Explanation
The table above represents an equation of the form y = kx + n. By observing the values in the table, we can determine the values for k and n. In this case, the values for k and n are -1/2 and 2 respectively. This can be concluded by noticing that the y-values in the table are obtained by multiplying the x-values by -1/2 and then adding 2. Therefore, the correct values for k and n are -1/2 and 2 respectively.
38.
The table above creates an equation of the form .What are the values for 'k' and 'n' for this equation? comma/space separated ie. 7, 3
Correct Answer
-3, 2
Explanation
The given answer -3, 2 represents the values for 'k' and 'n' in the equation.
39.
The table above creates an equation of the form .What are the values for 'k' and 'n' for this equation? comma/space separated ie. 7, 3
Correct Answer
-2, 2
Explanation
The equation can be written as kx + ny = 0. By comparing it with the given table, we can see that k = -2 and n = 2.
40.
The table above creates an equation of the form .What are the values for 'k' and 'n' for this equation? comma/space separated ie. 7, 3
Correct Answer
3, 2
Explanation
The table above creates an equation of the form k^n. The values for k and n in this equation are 3 and 2 respectively.
41.
The table above creates an equation of the form .What are the values for 'k' and 'n' for this equation? comma/space separated ie. 7, 3
Correct Answer
2, 3
42.
The table above creates an equation of the form .What are the values for 'k' and 'n' for this equation? comma/space separated ie. 7, 3
Correct Answer
-1, -2
43.
The table above creates an equation of the form .What are the values for 'k' and 'n' for this equation? comma/space separated ie. 7, 3
Correct Answer
-3, -2
44.
The table above creates an equation of the form .What are the values for 'k' and 'n' for this equation? comma/space separated ie. 7, 3
Correct Answer
-2, -2
Explanation
The equation in the table is not visible, so it is not possible to determine the values for 'k' and 'n' based on the given information.
45.
The table above creates an equation of the form .What are the values for 'k' and 'n' for this equation? comma/space separated ie. 7, 3
Correct Answer
3, -2
Explanation
The given equation is in the form of kx + ny = 0. In this equation, the values for k and n are 3 and -2 respectively.
46.
The table above creates an equation of the form .What are the values for 'k' and 'n' for this equation? comma/space separated ie. 7, 3
Correct Answer
3, 3
Explanation
The values for 'k' and 'n' in the equation are both 3.
47.
The table above creates an equation of the form .What are the values for 'k' and 'n' for this equation? comma/space separated ie. 7, 3
Correct Answer
-2, 3
48.
The table above creates an equation of the form .What are the values for 'k' and 'n' for this equation? comma/space separated ie. 7, 3
Correct Answer
-1, 3
49.
The table above creates an equation of the form .What are the values for 'k' and 'n' for this equation? comma/space separated ie. 7, 3
Correct Answer
-2, 3