Question

enter the interval(s) where the graph is increasing.
interval 1:
interval 2: (if there is no second interval, write
one\)

Explanation:

Step1: Recall the definition of an increasing function

A function \(y = f(x)\) is increasing on an interval \((a,b)\) if for any \(x_1,x_2\in(a,b)\) with \(x_1

Step2: Analyze the given graph

Looking at the graph:

• From \(x = 0\) to \(x = 1\), the function is decreasing (the \(y\) - values are going down as \(x\) increases).
• From \(x=1\) to \(x = 2\), the function is decreasing.
• From \(x = 2\) to \(x=3\), the function is increasing (the \(y\) - values are going up as \(x\) increases).
• From \(x = 3\) to \(x=4\), the function is decreasing.
• From \(x = 4\) to \(x=5\), the function is decreasing.
• From \(x = 5\) to \(x=6\), the function is increasing (the \(y\) - values are going up as \(x\) increases).

Answer:

Interval 1: \((2,3)\)
Interval 2: \((5,6)\)