Question

determine the interval(s) for which the function is (a) increasing, (b) decreasing, and (c) constant. (a) select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. the function is increasing on the interval(s) (type your answer in interval - notation. use a comma to separate answers as needed.) b. there is no solution.

Explanation:

Step1: Recall increasing - function definition

A function is increasing when the y - values increase as the x - values increase.

Step2: Analyze the graph

Looking at the graph, we see that the function is increasing from the left - hand side until it reaches the vertex at $x=- 11$. Then it starts decreasing. So the function is increasing on the interval $(-\infty,-11)$.

Answer:

A. The function is increasing on the interval $(-\infty,-11)$