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

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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 =…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter9: Quadratic Functions And Equations

Section: Chapter Questions

Problem 28PT

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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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