9
QuizMultiple Choice

Introduction to Functions — Quiz

Question 9 • Mathematics 8

Asha found that a vertical line intersects the graph of x is equal to absolute value of y at two points. What can Asha conclude about x is equal to absolute value of y ?

Answer
A
It is both a function of x and a relation.
B
It is neither a function of x nor a relation.
C
It is a function of x but not a relation.
D
It is a relation but not a function of x .

Explanation

A relation is any set of ordered pairs, so the graph of x = |y| is a relation. A vertical line intersecting the graph at two points means one x-value is paired with two different y-values, which fails the vertical line test. Therefore, x = |y| is a relation but not a function of x.

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