Part of the graph of the function f(x) = (x – 1)(x + 7) is shown below.



Which statements about the function are true? Select three options.

The vertex of the function is at (–4,–15).
The vertex of the function is at (–3,–16).
The graph is increasing on the interval x > –3.
The graph is positive only on the intervals where x < –7 and where
x > 1.
The graph is negative on the interval x < –4.



Answer :

Answer: The vertex of the function is at (-3, -16). The graph is increasing on the interval x > -3. The graph is positive only on the intervals where x < -7 and where x > 1

1Determine the vertex of the function. The vertex of the function f(x) = (x – 1)(x + 7) is at (-3, -16)

2Analyze the intervals where the function is increasing. The function is increasing on the interval x > -3

3Determine the intervals where the function is positive and negative. The function is positive only on the intervals where x < -7 and where x > 1

Step-by-step explanation: