use the given graph of y = f(x) to find the intervals on which f(x)>0, the intervals on which f(x)<0, and…

use the given graph of y = f(x) to find the intervals on which f(x)>0, the intervals on which f(x)<0, and the values of x for which f(x)=0. sketch a possible graph of y = f(x). on what subinterval(s) is f(x)>0? select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. (type your answer using interval notation. use a comma to separate answers as needed.) b. there are no such subintervals.

use the given graph of y = f(x) to find the intervals on which f(x)>0, the intervals on which f(x)<0, and the values of x for which f(x)=0. sketch a possible graph of y = f(x). on what subinterval(s) is f(x)>0? select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. (type your answer using interval notation. use a comma to separate answers as needed.) b. there are no such subintervals.

Answer

Explanation:

Step1: Recall derivative - increasing function relationship

If (f^{\prime}(x)>0) on an interval, then (y = f(x)) is increasing on that interval.

Step2: Observe the graph of (y = f(x))

Look for the parts of the graph of (y=f(x)) where it is rising as (x) increases.

Step3: Determine the intervals

Suppose from the graph, (y = f(x)) is increasing on the interval ((a,b)). Then (f^{\prime}(x)>0) on ((a,b)).

Answer:

(Assuming from the graph that the function (y = f(x)) is increasing on the interval ((- 2,1))) A. ((-2,1))