Question

The graph of the function f(x) = (x – 4)(x + 1) is shown below. Which statement about the function is true?

Answer 1

The correct statement regarding the quadratic function f(x) = (x - 4)(x + 1) is given by:

It is increasing for x < -1 and x > 4.

When a quadratic function is increasing and when it is decreasing?

Considering a concave up quadratic function, with positive leading coefficient, we have that:

• It is increasing to the left of the lower root and to the right of the upper root.

• It is decreasing between the roots.

In this problem, the function is given by:

f(x) = (x - 4)(x + 1).

The roots are:

• x - 4 = 0 -> x = 4.

• x + 1 = 0 -> x = -1.

Hence the correct statement is:

It is increasing for x < -1 and x > 4.

More can be learned about quadratic functions at brainly.com/question/24737967

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