Question

answer attempt 1 out of 5
-9 < x < -6
-6 < x < -1
-1 < x < 4
4 < x < 9

Explanation:

Step1: Recall the concept of increasing function

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

Step2: Analyze each interval

• For the interval \(-9 < x<-6\): The graph is decreasing (as \(x\) increases from \(-9\) to \(-6\), \(y\) decreases).
• For the interval \(-6 < x<-1\): The graph is decreasing (as \(x\) increases from \(-6\) to \(-1\), \(y\) decreases).
• For the interval \(-1 < x<4\): The graph is increasing (as \(x\) increases from \(-1\) to \(4\), \(y\) increases).
• For the interval \(4 < x<9\): The graph is increasing (as \(x\) increases from \(4\) to \(9\), \(y\) increases).

Answer:

\(-1 < x<4\) and \(4 < x<9\)