question determine all intervals on which the graph of f is increasing. answer attempt 1 out of 2

question determine all intervals on which the graph of f is increasing. answer attempt 1 out of 2
Answer
Explanation:
Step1: Recall increasing - function concept
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), we have (f(x_1)<f(x_2)). Graphically, the function is increasing when the graph moves up - ward as we move from left to right.
Step2: Analyze the graph
Looking at the graph of (y = f(x)), we observe the intervals where the curve is rising. We see that the function is increasing on the intervals (- 3<x<2) and (7<x<9).
Answer:
((-3,2)) and ((7,9))