The graph of the function f(x) = –(x + 3)(x – 1) is shown below. On a coordinate plane, a parabola opens down. It goes through (negative 3, 0), has a vertex at (negative 1, 4), and goes through (1, 0). Which statement about the function is true? The function is positive for all real values of x where x < –1. The function is negative for all real values of x where x < –3 and where x > 1. The function is positive for all real values of x where x > 0. The function is negative for all real values of x where x < –3 or x > –1.

Respuesta :

The true statement is:

"The function is negative for all real values of x where x < –3 and where x > 1."

Which statement about the function is true?

Here we have the quadratic function:

f(x) = -(x + 3)*(x - 1).

The graph of this function can be seen in the image below.

You can see that at x = -3 and x = 1 we have a zeros, and for all the values of x < -3 or x > 1, the graph is under the horizontal axis.

Then we can conclude that for all values of x such that x < -3 or x > 1, the function is negative.

Then the true statement is:

"The function is negative for all real values of x where x < –3 and where x > 1."

If you want to learn more about quadratic equations:

https://brainly.com/question/1214333

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