Take The Quiz To Learn About Relations & Functions
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Learning mathematics can be tricky. Don't worry! We've made it easier! We encourage you to take the quiz to learn about relations and functions. Our awesome quiz will make you think and learn more about the concepts. All the questions are compulsory, so make sure to read all the questions carefully before answering. Our awesome quiz can help you ace all your mathematics classes. There's no time bar on the quiz, so feel free to take it up as often as possible. All the very best!
Questions and Answers
1.
A.
Function
B.
Not a Function
C.
Both
D.
Neither
Correct Answer B. Not a Function
2.
A.
Function
B.
Not a Function
C.
Both
D.
Neither
Correct Answer A. Function
3.
{(6, -3), (7, 4), (-7, -2), (0, -2)}
A.
Function
B.
Not a Function
C.
Both
D.
Neither
Correct Answer A. Function
Explanation The given set of points {(6, -3), (7, 4), (-7, -2), (0, -2)} represents a function. In a function, each input (x-value) is associated with exactly one output (y-value). In this case, for every x-value, there is only one corresponding y-value. Therefore, it satisfies the definition of a function.
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4.
{(7, 1), (7, -3), (7, 4)}
A.
Function
B.
Not a Function
C.
Both
D.
Neither
Correct Answer B. Not a Function
Explanation The given set of points {(7, 1), (7, -3), (7, 4)} does not represent a function because for a set of points to represent a function, each x-coordinate should have only one corresponding y-coordinate. In this case, the x-coordinate 7 has three different y-coordinates (-3, 1, and 4), which violates the definition of a function. Therefore, the correct answer is "Not a Function".
Explanation The given set of ordered pairs represents a function because each input value (x) is associated with only one output value (y). In other words, for each x-value, there is only one y-value. Therefore, the set of ordered pairs represents a function.
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6.
A.
Function
B.
Not a Function
C.
Both
D.
Neither
Correct Answer B. Not a Function
7.
What is y = x + 3?
A.
Relation
B.
Function
C.
Both
D.
Neither
Correct Answer B. Function
Explanation The equation y = x + 3 represents a linear relationship between x and y, where y is always equal to x plus 3. This equation satisfies the definition of a function because for every input value of x, there is exactly one corresponding output value of y. Therefore, the correct answer is "Function."
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8.
What is A = {9, 16, 25} and B = {5, 4, 3, -3, -4, -5}?
A.
Relation
B.
Function
C.
Both
D.
Neither
Correct Answer B. Function
Explanation The given sets A = {9, 16, 25} and B = {5, 4, 3, -3, -4, -5} represent a function because each element in set A maps uniquely to an element in set B. Specifically, each element in set A, which consists of perfect squares, maps to its square root in set B. Therefore, it forms a function from A to B.
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9.
Which of the following relation is not a function?
A.
{(2,7), (3,7), (4,7), (5,8)}
B.
{(3,-2), (5,-6), (7,7), (8,8)}
C.
{(1,-5), (-1,6), (1,5), (6,-3)}
D.
{(1,-5), (3,1), (-5,4), (4,-2)}
Correct Answer C. {(1,-5), (-1,6), (1,5), (6,-3)}
Explanation In a function, each input value (x) can only have one corresponding output value (y). However, in the given relation {(1,-5), (-1,6), (1,5), (6,-3)}, the input value 1 has two different output values (-5 and 5). Therefore, this relation is not a function.
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10.
Which of the following is not a function?
A.
{(0,2), (1,3), (4,3), (1,2)}
B.
{(0,1), (1,2), (2,3), (3,4)}
C.
{(1,3), (4,2), (2,0), (3,4)}
D.
{(1,2), (2,2), (3,2), (4,2)}
Correct Answer A. {(0,2), (1,3), (4,3), (1,2)}
Explanation A function is a relation where each input has exactly one output. In the given answer, the set {(0,2), (1,3), (4,3), (1,2)} violates this property because the input value 1 is associated with two different output values, 3 and 2. Therefore, this set is not a function.
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