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.

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter9: Quadratic Equations And Functions
Section9.7: Graph Quadratic Functions Using Transformations
Problem 362E: Graph the quadratic function f(x)=2x24x3 first using the properties as we did in the last section...
icon
Related questions
Question

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

 

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 6 images

Blurred answer
Knowledge Booster
Graphs
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill