Graph in the image:Over the intervals of(−∞,−3)∪(−1,2) the graph is considered to be increasing, decreasing, positive or negative? Consider the function below:17y = (x+3)(x+1)(x – 2)4153121-7 -6 -5 -4 -3 -2 -11 2 3 4 5 67|-1-2-3|-4-516

Name: Graph in the image:Over the intervals of(−∞,−3)∪(−1,2) the graph is co
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Description: Graph in the image:Over the intervals of(−∞,−3)∪(−1,2) the graph is considered to be increasing, decreasing, positive or negative? Consider the function below:17y = (x+3)(x+1)(x – 2)4153121-7 -6 -5 -4 -3 -2 -11 2 3 4 5 67|-1-2-3|-4-516

when the graph is below the x-axis in an interval the graph is negative in that interval. when the…

Answered: Consider the function below: 17 6 y =…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section: Chapter Questions

Problem 63RE

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Graph in the image: Over the intervals of (−∞,−3)∪(−1,2) the graph is considered to be increasing, decreasing, positive or negative?

Consider the function below:
17
y = (x+3)(x+1)(x – 2)
4
15
3
12
1
-7 -6 -5 -4 -3 -2 -1
1 2 3 4 5 67
|-1
-2
-3
|-4
-5
16

Expert Solution

Step 1

when the graph is below the x-axis in an interval the graph is negative in that interval.
when the graph is above the x-axis in an interval the graph is positive in that interval.
when the slope of the graph is positive in an interval the graph is increasing in that interval.
when the slope of the graph is negative in an interval the graph is decreasing in that interval.

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