Question

Given the graph below, which of the following statements is true?

The graph represents a one-to-one function because every x-value is paired with only one y-value.

The graph represents a one-to-one function because it is defined for all x-values.

The graph does not represent a one-to-one function because it does not pass through the origin.

The graph does not represent a one-to-one function because the y-values between 0 and 2 are paired with multiple x-values.

Answer 1

d

Explanation:

took test

Answer 2

D) The graph does not represent a one-to-one function because the y-values between 0 to 2 are paired with multiple x-values.

Explanation:

Let's find the ordered pairs.

(-4, 4), (-3, 2), (-2, 0), (-1, 0.5), (0, 1), (1, 1.5), (2, 2), (3, 0)

The graph passed through above points.

In the x-coordinates -3, 2 gives the same output. Therefore, the given function is not one-to-one.

Therefore, the answer D)

The graph does not represent a one-to-one function because the y-values between 0 to 2 are paired with multiple x-values.

Hope you will understand the concept.

Thank you.