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The graph shows the linear parent function.Y5-55----Which statement best describes the function?

The graph shows the linear parent function.Y5-55----Which statement best describes-example-1
The graph shows the linear parent function.Y5-55----Which statement best describes-example-1
The graph shows the linear parent function.Y5-55----Which statement best describes-example-2

1 Answer

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From the picture, we have the graph of the linear parent function f(x) = x.

We have the following statements as descriptions of the function:

A. The function is negative when x < 0.

From the graph, we see that the function takes negative values for x < 0. This statement is true.

B. The function is negative when x < 0 and also when x > 0.

The first part of this statement is true, but the second is not because that we see that the function takes positives values for x > 0. So this statement is false.

C. The function is never negative.

If we see the graph, the function is negative when x < 0. So this statement is false.

D. The function is negative when x > 0.

Again, seeing the graph we note that the function takes positive values for x > 0. So this statement is false.

So the only statement that it is true, is option A.

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