y= -5(x-1)7 (x-2)4 (x+30)5  Give its boundary behavior, x and y-intercepts. For the x-intercepts, give the corresponding multiplicities and explain what that means for the behavior of the above function near those points. Explain in words what the graph of this function would look like.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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y= -5(x-1)(x-2)(x+30)

Give its boundary behavior, x and y-intercepts. For the x-intercepts, give the corresponding multiplicities and explain what that means for the behavior of the above function near those points. Explain in words what the graph of this function would look like.

Expert Solution
Step 1

To Determine:

Give its boundary behavior, x and y-intercepts. For the x-intercepts, give the corresponding multiplicities and explain what that means for the behavior of the above function near those points. 

                                                 Algebra homework question answer, step 1, image 1

Step 2

Explanation:

Firstly we will find the intercepts.

In order to find the x intercepts, we will put y = 0 and solve for x.

Algebra homework question answer, step 2, image 1

So, x intercepts are:

x = 1

x = 2

x = -30

In order to find the y-intercept, we will put x = 0 and solve for y.

Algebra homework question answer, step 2, image 2

So, y-intercept is :

y = 1944000000

 

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