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.
Answers
Step-by-step explanation:
Given that:
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.
Solution:
1) The vertex of the function is at (–4,–15).
Ans.This is false.
2) The vertex of the function is at (–3,–16).
Ans. This is true. from the graph it is clearly shown A is vertex of graph.Which is (-3,-16)
3)The graph is increasing on the interval x > –3.
Ans. This region is located in graph with red colour,here it is easily shown that in this region graph continuously increasing.
This is true.
4)The graph is positive only on the intervals where x < –7 and where x > 1.
Ans: Yes,it is true.
Because when x<-7 graph is decreasing but have positive values and when x>1,graph is increasing and have positive values.
5)The graph is negative on the interval x < –4.
Ans:Yes,yellow part is shown the region of x<-4
here value of graph continuously decreasing.
Hope it helps you.
Answer:
its b c d on edg
Step-by-step explanation: