Question

target i
identify all intervals of increase and decrease in interval or set notation from the graph below. round to the nearest 0.5. use the x axis
when describing intervals.
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12pt paragraph b i u a t²

Explanation:

Step1: Determine the intervals of increase

A function is increasing when, as \(x\) increases, \(y\) also increases. Looking at the graph, we can see that the function is increasing on the intervals \((-2,-1.5)\) and \((1,2)\).

Step2: Determine the intervals of decrease

A function is decreasing when, as \(x\) increases, \(y\) decreases. From the graph, the function is decreasing on the intervals \((-1.5,0)\) and \((0,1)\).

Answer:

Intervals of increase: \((-2,-1.5)\) and \((1,2)\)
Intervals of decrease: \((-1.5,0)\) and \((0,1)\)