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 - 3. The function is negative for all real values of x where x < - 2.

Question

Mathematics

Ayden

20 January, 03:04

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 - 3. The function is negative for all real values of x where x < - 2.

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Answers (1)

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Fern · Answer 1

The critical values for x are - 2 and - 6.

We break the function domain into regions:

-∞ to - 6 f (x) ≥ 0

-6 to-2 f (x) < 0 this is the correct statement, answer 2

-2 to + ∞ f (x) ≥ 0