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.

From our graph we can infer that the our function intercept the x-axis at the points  and . Notice that bellow those two points our function is negative, whereas above those two points our function is positive. In other words: the function is positive for all real values of  where  or , and the function is negative for all real values of  where 

We can conclude that the correct answer is: The function is negative for all real values of x where –6 < x < –2.

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