Question

Determine the intervals on which the function is increasing, decreasing, and constant.

Select one:
a. Increasing x < 0; Decreasing x > 0
b. Increasing x > 0; Decreasing x < 0
c. Increasing x < 3; Decreasing x > 3
d. Increasing x > 3; Decreasing x < 3

Answer 1

A is your answer I think hope I helped

Answer 2

b. Increasing x > 0; Decreasing x < 0

Explanation:

We have been given graph of a function. We are asked to find the intervals on which our function is increasing and decreasing.

We know that when graph of function is going upwards from left to right then the graph is increasing.

When graph of function is going downwards from left to right then the graph is decreasing.

Upon looking at our given graph, we can see that for x values less than 0, the graph is going downwards from left to right, therefore, our function is decreasing on interval
`x<0`.

We can see from our given graph that for x values greater than 0, the graph is going upwards from left to right, therefore, our function is increasing on interval
`x>0`.