Question

The graph of the function f(x) = (x + 2)(x + 6) is shown below. Which statement about the function is true? The function is positive for all real values of x where x > –4. The function is negative for all real values of x where –6 < x < –2. The function is positive for all real values of x where x < –6 or x > –3. The function is negative for all real values of x where x < –2.

Answer 1

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AMong the choices above the statement about the function is true is the second one or the  function is negative for all real values of x where-6 < x < -2.

Answer 2

Here is attached diagram for the function $f(x) = (x + 2)(x + 6).$

You can see that:

• The function is positive for all real values of x where $x$ and $x>-2.$
• The function is negative for all real values of x where $-6$

From the previous statements you can conclude that the only correct choice is B.