use the graph to determine\na. open intervals on which the function is increasing, if any.\nb. open…
use the graph to determine\na. open intervals on which the function is increasing, if any.\nb. open intervals on which the function is decreasing, if any.\nc. open intervals on which the function is constant, if any.\na. select the correct choice below and, if necessary, fill in the answer box to complete your choice.\na. the function is increasing on the interval(s) (type your answer in interval notation. use a comma to separate answers as needed.)\nb. there is no interval on which the function is increasing.
Answer
Explanation:
Step1: Recall increasing - function definition
A function is increasing on an open interval if for any two points $x_1$ and $x_2$ in the interval with $x_1<x_2$, we have $f(x_1)<f(x_2)$. Looking at the graph, we see that as we move from left - to - right, the function rises on the interval $(-1,\infty)$.
Step2: Write in interval notation
The open interval is written as $(-1,\infty)$.
Answer:
A. The function is increasing on the interval(s) $(-1,\infty)$