Question

Over what interval is the function in this graph decreasing?

A. 6 ≤ x ≤ 10
B. –4 ≤ x ≤ 2
C. –10 ≤ x ≤ –4
D. 2 ≤ x ≤ 6

Answer 1

Answer: B

Step-by-step explanation: A P E X

Answer 2

Hence, the graph is decreasing in the interval: –4 ≤ x ≤ 2 ( option: B is correct)

Explanation:

We have to define the interval in which the graph of the given function is decreasing.

Clearly by looking at the graph we could see that the graph is first increasing till x<-4.

and then it decreases in the interval [-4,2] since the value of y changes from y=9 at x= -4 to y= -9 at x=2.

also after x=2 the graph increases till x=6 and after x=6 the graph is constant i.e. the graph is represented by the line:

y=5 in the interval x≥6.

Hence, the graph is decreasing in the interval:

–4 ≤ x ≤ 2 ( option: B is correct)