Question

deltamath.com
increasing vs. decreasing & pos vs. neg (level 2)
question
determine all intervals on which the graph of ( f ) is increasing.
answer
attempt 1 out of 3

Explanation:

Step1: Recall the definition of an 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 the graph

• Look at the left - hand side of the graph:
• From \(x=-9\) to \(x = - 6\), the graph rises (since as \(x\) increases, \(y\) increases).
• From \(x=-2\) to \(x = 1\), the graph rises.
• From \(x = 5\) to \(x=9\), the graph rises.

Answer:

The intervals on which the graph of \(f\) is increasing are \((-9,-6)\), \((-2,1)\) and \((5,9)\)