Question

practice assignment 3.3 rates of change and behavior of gra
score: 10/60 answered: 1/6
question 2
the function graphed above is:
increasing on the interval(s)
decreasing on the interval(s)
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Explanation:

Step1: Recall the definition of increasing and decreasing functions

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

Looking at the graph:

• The function is increasing when we move from left - to - right and the \(y\) - values are rising.
• The function is decreasing when we move from left - to - right and the \(y\) - values are falling.

From the graph, we can see that:

• The function is increasing on the intervals \((-3,1)\)
• The function is decreasing on the intervals \((-\infty,-3)\cup(1,\infty)\)

Answer:

Increasing on the interval(s): \((-3,1)\)
Decreasing on the interval(s): \((-\infty,-3)\cup(1,\infty)\)