determine all intervals on which the graph of $f$ is increasing.
determine all intervals on which the graph of $f$ is increasing.
Answer
Explanation:
Step1: Recall increasing - graph property
A function (y = f(x)) is increasing on an interval if, for any two points (x_1) and (x_2) in the interval with (x_1<x_2), then (f(x_1)<f(x_2)). On a graph, this means the graph is rising from left - to - right.
Step2: Analyze the given graph
Looking at the graph of (y = f(x)), we start from the left - hand side of the (x) - axis. We see that the graph is rising (increasing) from (x=-5) to (x = 0) and from (x = 6) to (+\infty).
Answer:
((-5,0)\cup(6,\infty))