Graphing Rational Functions And Reciprocal Functions Quiz
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Which of these does not apply to this function?
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Horizontal shift
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Vertical shift
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Vertical stretch
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Both A & B
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(248).webp "Which of these does not apply to this function?")
Do you think you know and understand graphing rational functions and reciprocal functions? If yes, then take this quiz. The quiz is going to be a bit difficult if you are not good with the concept or if your math is weak. However, for your practice and a better understanding of graphing rational functions and reciprocal functions, this quiz is See moregoing to be very useful. So, give this quiz a try and score as much as you can. Wish you good luck!
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- 2.
A vertical asymptote shows a value at which a rational function is undefined. Thus, the value is not in the domain of the function.
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True
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False
Correct Answer
A. TrueExplanation
A vertical asymptote represents a value at which a rational function is undefined, meaning that the function cannot be evaluated at that particular value. This value is not included in the domain of the function. Therefore, the statement "A vertical asymptote shows a value at which a rational function is undefined. Thus, the value is not in the domain of the function." is true.Rate this question:
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- 3.
A reciprocal function will never have values in its domain that result in the denominator being equal to zero.
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True
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False
Correct Answer
A. TrueExplanation
A reciprocal function is defined as a function where the output is the reciprocal of the input. The reciprocal of a number is obtained by dividing 1 by that number. In a reciprocal function, the denominator of the fraction will always be the input value. Since division by zero is undefined, the denominator cannot be equal to zero. Therefore, a reciprocal function will never have values in its domain that result in the denominator being equal to zero. Hence, the statement is true.Rate this question:
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- 4.
X = 0 is the X-Intercept of ___________.
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Y= 2x/(x-8)
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Y= 4x/(x-5)
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Y= 4x/(x+5)
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Y= 2x/(x-9)
Correct Answer
A. Y= 4x/(x-5)Explanation
The x-intercept of an equation represents the point where the graph crosses the x-axis, having a y-coordinate of zero. For the equation Y= 4x/x-5, when x is set to zero, it results in a y-coordinate of zero, making x = 0 the x-intercept of this equation.Rate this question:
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- 5.
The graph is of which rational equation?
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Y = 1/x+2 - 4
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Y = 1/x+3 - 3
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Y = 3/x+2 - 3
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Y = 1/x+2 - 3
Correct Answer
A. Y = 1/x+2 - 3Explanation
The given equation is in the form y = 1/x+2 - 3. This equation represents a rational function. The graph of this equation is a hyperbola that is shifted 2 units to the left and 3 units down from the standard reciprocal function y = 1/x. The -3 at the end of the equation represents the vertical shift downward by 3 units. Therefore, the correct answer is y = 1/x+2 - 3.Rate this question:
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- 6.
A reciprocal function is also known as a slope function.
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True
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False
Correct Answer
A. FalseExplanation
A reciprocal function is not known as a slope function. A reciprocal function is a function that maps a non-zero number to its reciprocal, which is one divided by the number. On the other hand, a slope function refers to the rate of change of a function with respect to its input variable. These two concepts are distinct and not interchangeable. Therefore, the statement is False.Rate this question:
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- 7.
An asymptote is an imaginary line that your function always touches.
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True
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False
Correct Answer
A. FalseExplanation
An asymptote is not an imaginary line that a function always touches. In fact, an asymptote is a line that a function approaches but never quite reaches. It can be horizontal, vertical, or oblique, and it represents a limit or boundary for the function. Therefore, the correct answer is False.Rate this question:
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- 8.
Find the horizontal asymptote of f(x)=-2x/x+1.
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Y= 2
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Y= -2
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Y = 2 + 2
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Y = 2 - 1
Correct Answer
A. Y= -2Explanation
The horizontal asymptote of a function represents the value that the function approaches as x approaches positive or negative infinity. In this case, the function f(x) = -2x/(x+1) has a horizontal asymptote at y = -2. This means that as x gets larger and larger or smaller and smaller, the function approaches a value of -2.Rate this question:
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- 9.
The graph is of which of these rational equations?
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Y = 2/x+2 - 3
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Y = 6/x+2 - 3
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Y = 3/x+9 - 3
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None of these
Correct Answer
A. None of these -
- 10.
Find the Vertical Asymptotes of y= (x+5)/(x-6).
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X = 6
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X = -6
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X = -9
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X = -5
Correct Answer
A. X = 6Explanation
The vertical asymptote of a rational function occurs at values of x where the denominator is equal to zero. In this case, the denominator is x-6. Setting x-6 equal to zero and solving for x gives x=6. Therefore, the vertical asymptote of the function y=(x+5)/(x-6) is x=6.Rate this question:
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(249).webp "The graph is of which rational equation?")
(249).webp "The graph is of which of these rational equations?")
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Current Version
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Dec 26, 2024Quiz Edited by
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Nov 08, 2022Quiz Created by
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