Chapter 4, Problem 1RE

Problems 1-8 refer to the following graph of y = f(x). Identify the points or intervals on the x axis that produce the indicated behavior.

1. f(x) is increasing.

To determine

To identify: The points or interval on the x-axis where the function $f\left(x\right)$ is increasing.

Answer to Problem 1RE

The function $f\left(x\right)$ is increasing on the intervals $\left(a,c_1\right)\text{ and }\left(c_3,c_6\right)$.

Explanation of Solution

It is given that the function $f\left(x\right)$ is increasing. Thus, obtain the intervals when the function values increases as the input put increases.

From the given graph, it can be observed that the graph is rising in the intervals $\left(a,c_1\right)\text{ and }\left(c_3,c_6\right)$.

Therefore, the function $f\left(x\right)$ is increasing on the intervals $\left(a,c_1\right)\text{ and }\left(c_3,c_6\right)$.