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