Question

Determine the intervals on which the function is increasing, decreasing, and constant. (5 points)

Answer 1

B. Increasing in x < -1 and decreasing in x > -1.

Explanation:

We are given the graph of a function and is required to find the interval in which the function is increasing, decreasing or constant.

Now, from the graph we can see that the critical point i.e. the point at which the graph changes the direction is x = -1.

We observe that the function on the left side of x = -1 is going upwards to reach the point x = -1 and the function on the right side of x = -1 is going downwards.

Hence, we get that the function in increasing in x < -1 and decreasing in x > -1.