Test On Functions And Relations! Trivia Quiz
Welcome to the "Test on Functions and Relations: Trivia Quiz!" This quiz is designed to challenge your understanding and knowledge of these fundamental mathematical concepts. A function is a twofold relation between two sets that connects to each element of the first set, precisely one element of the second set. In relational database theory, a relation is between the x values and y values of ordered pairs. For this quiz, it is up to you to determine a relation and a function. Answer the questions, unravel the complexities of mathematical relationships, and see how well you grasp the intricacies of Read morefunctions and relations. Get ready to embark on a journey of mathematical discovery and enrichment!
Questions and Answers
- 1.
Is the following relation a function?
- A.
Yes
- B.
No
Correct Answer
B. NoExplanation
The question asks whether the given relation is a function or not. The answer "No" implies that the relation is not a function.Rate this question:
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- 2.
Is the following relation a function?
- A.
Yes
- B.
No
Correct Answer
A. YesExplanation
The given relation is a function if each input has only one corresponding output. Since the question does not provide any specific relation or data, we can assume that it is a general question asking if a relation can be a function. In general, a relation can be a function if each input value maps to only one output value. Therefore, the correct answer is "Yes."Rate this question:
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- 3.
What is the domain of the following:
- A.
-3
- B.
-2
- C.
-1
- D.
0
- E.
1
- F.
2
- G.
3
- H.
X <= 0
- I.
X >= 0
- J.
All Real Numbers
Correct Answer
I. X >= 0Explanation
The given answer, "x >= 0," indicates that the domain of the expression is all values of x that are greater than or equal to zero. This means that any real number that is equal to or greater than zero can be substituted for x in the expression.Rate this question:
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- 4.
What is the domain of the following: y = 3x
- A.
-3
- B.
-2
- C.
-1
- D.
0
- E.
1
- F.
2
- G.
3
- H.
X
- I.
X >= 0
- J.
All Real Numbers
Correct Answer
J. All Real NumbersExplanation
The given equation is y = 3x - 3. This is a linear equation in the form y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is 3, which means that for every increase of 1 in x, y increases by 3. The y-intercept is -3, which is the point where the line crosses the y-axis. Since there are no restrictions on the value of x, the domain of this equation is all real numbers.Rate this question:
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- 5.
What is the range of the following:
- A.
-3
- B.
-2
- C.
-1
- D.
0
- E.
1
- F.
2
- G.
3
- H.
Y <= 0
- I.
Y >= 0
- J.
All Real Numbers
Correct Answer(s)
C. -1
D. 0
F. 2
G. 3Explanation
The given list consists of the numbers -3, -2, -1, 0, 1, 2, 3, and y. However, the condition y >= 0 suggests that y can only take non-negative values. Therefore, the range of the given list is limited to the numbers -1, 0, 2, and 3.Rate this question:
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- 6.
What is the domain of the following: y = |x|
- A.
-3
- B.
-2
- C.
-1
- D.
0
- E.
1
- F.
2
- G.
3
- H.
X <= 0
- I.
X >= 0
- J.
All Real Numbers
Correct Answer
J. All Real NumbersExplanation
The domain of the function y = |x| is All Real Numbers because the absolute value function is defined for all real numbers. The function takes any real number as input and returns the absolute value of that number, which is always a non-negative real number. Therefore, there are no restrictions on the values that x can take, and the domain is all real numbers.Rate this question:
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- 7.
What is the range of the following: {(3,1), (2,-1), (1,1)
- A.
-3
- B.
-2
- C.
-1
- D.
0
- E.
1
- F.
2
- G.
3
- H.
Y
- I.
Y >= 0
- J.
All Real Numbers
Correct Answer(s)
C. -1
E. 1Explanation
The given set of points {(3,1), (2,-1), (1,1)} represents the y-coordinates of the points. The range of a set of numbers is the difference between the maximum and minimum values. In this case, the minimum value of the y-coordinates is -1 and the maximum value is 1. Therefore, the range of the given set is -1,1.Rate this question:
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- 8.
Is the following relation a function?
- A.
Yes
- B.
No
Correct Answer
A. YesExplanation
A relation is considered a function if each input value (x) corresponds to exactly one output value (y). In this case, the question does not provide any information about the relation or its inputs and outputs. Therefore, it is not possible to determine whether the given relation is a function or not.Rate this question:
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- 9.
Is the following relation a function? y=3x
- A.
Yes
- B.
No
Correct Answer
A. YesExplanation
The given relation y=3x represents a linear equation in the form of y=mx, where m is the slope of the line. Since the equation only involves a single value of x and produces a unique value of y for each x, it satisfies the definition of a function. Therefore, the correct answer is Yes.Rate this question:
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- 10.
Is the following relation a function?y = |x|
- A.
Yes
- B.
No
Correct Answer
A. YesExplanation
The given relation is a function because for every value of x, there is a unique corresponding value of y. The absolute value function ensures that the output is always positive, regardless of the sign of the input. Therefore, each x value has only one y value associated with it, making it a function.Rate this question:
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- 11.
What is the range of the following:
- A.
-3
- B.
-2
- C.
-1
- D.
0
- E.
1
- F.
2
- G.
3
- H.
Y <= 0
- I.
Y >= 0
- J.
All Real Numbers
Correct Answer(s)
B. -2
D. 0
E. 1
G. 3Explanation
The given answer is a list of numbers that are included in the range of the given set. The range is the set of all possible values that the variable "y" can take. Looking at the given conditions, we can see that "y" must be greater than or equal to 0. Therefore, any negative numbers are not included in the range. The numbers -2, 0, 1, and 3 are the only values that satisfy the condition y >= 0, so they are the range of the given set.Rate this question:
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- 12.
What is the domain of the following: {(1,3), (2,7), (3,-1)
- A.
-3
- B.
-2
- C.
-1
- D.
0
- E.
1
- F.
2
- G.
3
- H.
X <= 0
- I.
X >= 0
- J.
All Real Numbers
Correct Answer(s)
E. 1
F. 2
G. 3Explanation
The domain of a set of ordered pairs refers to the set of all the x-values (first components) in those pairs.
In your given set: {(1,3), (2,7), (3,-1)}
The domain consists of the x-values, which are 1, 2, and 3.
So, the domain is {1, 2, 3}.Rate this question:
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- 13.
What is the domain of the following:
- A.
-3
- B.
-2
- C.
-1
- D.
0
- E.
1
- F.
2
- G.
3
- H.
X <= 0
- I.
X >= 0
- J.
All Real Numbers
Correct Answer(s)
C. -1
D. 0
G. 3Explanation
The given domain consists of the values -1, 0, and 3. These values are obtained from the expression "x >= 0," which means that x can take any value greater than or equal to 0. Therefore, the domain includes -1, 0, and 3 as they satisfy the condition.Rate this question:
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- 14.
What is the range of the following:
- A.
-3
- B.
-2
- C.
-1
- D.
0
- E.
1
- F.
2
- G.
3
- H.
Y <= 0
- I.
Y >= 0
- J.
All Real Numbers
Correct Answer
H. Y <= 0Explanation
The range of the given set of numbers is y. This means that the value of y can be any real number.Rate this question:
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- 15.
What is the domain of the following:
- A.
-3
- B.
-2
- C.
-1
- D.
0
- E.
1
- F.
2
- G.
3
- H.
X <= 0
- I.
X >= 0
- J.
All Real Numbers
Correct Answer(s)
B. -2
C. -1
D. 0
G. 3Explanation
The domain of the given expression is -2, -1, 0, and 3. This is because the expression states that x is greater than or equal to 0, so any values less than 0 are not included in the domain. The numbers -3, 1, 2, and x are not included in the domain because they do not satisfy the condition x >= 0. Therefore, the correct answer is -2, -1, 0, and 3.Rate this question:
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- 16.
What is the range of the following:
- A.
-3
- B.
-2
- C.
-1
- D.
0
- E.
1
- F.
2
- G.
3
- H.
Y <= 0
- I.
Y >= 0
- J.
All Real Numbers
Correct Answer(s)
B. -2
C. -1
D. 0Explanation
The range of the given set of numbers is -2, -1, and 0. This is because these are the only values present in the set. The range refers to the difference between the largest and smallest values in a set, but in this case, there is no largest or smallest value given. Therefore, the range is simply the set of values present in the given set.Rate this question:
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- 17.
What is the range of the following: y = 3x
- A.
-3
- B.
-2
- C.
-1
- D.
0
- E.
1
- F.
2
- G.
3
- H.
Y <= 0
- I.
Y >= 0
- J.
All Real Numbers
Correct Answer
J. All Real NumbersExplanation
The equation y = 3x represents a straight line with a slope of 3. This means that for every increase of 1 in x, y will increase by 3. Since there are no restrictions on the values of x or y, the range of the equation is all real numbers.Rate this question:
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- 18.
Is the following relation a function? {(3,1), (2,-1), (1,1)}
- A.
Yes
- B.
No
Correct Answer
A. YesExplanation
The given relation is a function because each input value (x-coordinate) corresponds to exactly one output value (y-coordinate). In other words, there are no repeated x-values in the relation. Therefore, for every x-value, there is only one corresponding y-value, satisfying the definition of a function.Rate this question:
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- 19.
What is the range of the following: y = |x|
- A.
-3
- B.
-2
- C.
-1
- D.
0
- E.
1
- F.
2
- G.
3
- H.
Y
- I.
Y >= 0
- J.
All Real Numbers
Correct Answer
I. Y >= 0Explanation
The range of the function y = |x| is y >= 0, which means that the output values of the function can only be equal to or greater than zero. This is because the absolute value function always returns a non-negative value, regardless of the input value. Therefore, the range of y = |x| includes all non-negative real numbers.Rate this question:
-
- 20.
Is the following relation a function?
- A.
Yes
- B.
No
Correct Answer
B. NoExplanation
The given question asks whether the given relation is a function or not. However, no information or specific relation is provided in the question. Without any context or relation to analyze, it is not possible to determine whether the given relation is a function or not. Therefore, an explanation cannot be provided.Rate this question:
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Current Version
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Jan 30, 2024Quiz Edited by
ProProfs Editorial Team
Expert Reviewed by
Janaisa Harris -
Jan 29, 2015Quiz Created by
Philip Benanti
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