use the graph to determine (a) open intervals on which the function is increasing, if any. (b) open…
use the graph to determine (a) open intervals on which the function is increasing, if any. (b) open intervals on which the function is decreasing, if any. (c) open intervals on which the function is constant, if any. (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. the function is never increasing.
Answer
Explanation:
Step1: Recall increasing - function definition
A function is increasing on an open interval if, for any two points in the interval, as the $x$ - values increase, the $y$ - values also increase.
Step2: Analyze the graph
Looking at the given graph, as we move from left - to - right, the $y$ - values of the function start to increase from $x=-2$ to $x = 5$.
Answer:
A. The function is increasing on the interval(s) $(-2,5)$