Given the graph below, which of the following statements is true? On a coordinate plane, a graph shows an image with three connected lines. The first line has a negative slope and goes from (negative 5, 6) to (negative 2, 0), the second line has a positive slope and goes from (negative 2, 0) to (2, 2), and the third line has a negative slope going from (2, 2) through (4, negative 2).

D.

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

Step-by-step explanation:

Looking at the graph included in the answer, the graph is connected between four points.

It starts with a negative slope, then changes to a positive slope after (-2, 0), and then changes back to a negative slope after (2, 2).

To answer this, first we need to know what a one-to-one function is.

A one-to-one function is any function that only has one x-coordinate for every y-coordinate. If a function has two x-coordinates for one y-coordinate (for example, (5, 4) and (10, 4)), then the function is not one-to-one.

An example of a one-to-one function is the graph of y = x.

There is only one x-coordinate for every y-coordinate on the graph.

You can use the "horizontal line" test to determine whether a function is one-to-one. If a horizontal line is placed anywhere on a graph and intersects the function more than once, the function is not one-to-one

For the function given:

When a horizontal line is placed at "y = 1", it intersects the function three times. This means that the function IS NOT one-to-one.

Choice D is correct.

The coordinates between y = 0 and y = 2 are paired with multiple x-values, and this correctly explains why the function is not one-to-one.

a

step-by-step explanation:

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