PLEASE HELP Which statement about the function y = –2x3 is correct?
A. The function is nonlinear and could be made linear by changing -2 to 2.
B. The function is nonlinear and could be made linear by changing 3 to 1.
C. The function is linear and could be made nonlinear by changing -2 to 2.
D. The function is linear and could be made nonlinear by changing 3 to 1.

B.

Step-by-step explanation:

So we have the function:

As we can see, the degree of this function is 3. This is a cubic function. In other words, this is nonlinear. Let's go through each of the choices:

Already, we can eliminate C and D since the function is nonlinear as it's a cubic function. So, we only need to check A and B.

A: If we change the -2 to 2 like so:

The function remains a cubic. The only thing we've changed is how the graph is oriented. With -2, the graph goes from top to bottom. With 2, the graph goes from bottom to top. Nevertheless, it's still a cubic function. What we need to change is the exponent and not the coefficient. A is not correct.

B: If we change the 3 to 1 like so:

This is now a linear equation. The degree is 1 and as you can probably picture, it's a downwards sloping line. The correct answer is B.

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