Homework Help is Here – Start Your Trial Now!
Math
Algebra
What type of function? Is the leading coefficient negative or positive? Is the degree of the function odd or even?

What type of function? Is the leading coefficient negative or positive? Is the degree of the function odd or even?

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section: Chapter Questions
Problem 2CC: Describe the four ways of representing a function.
See similar textbooks
icon
Related questions
Question
(Function in the image) What type of function? Is the leading coefficient negative or positive? Is the degree of the function odd or even?
Consider the function below: 8 5 3 2 10-9 -8 -7 -6 -5 -4 -3 -2 S 6 7 8 -2 -3 -4 -5 -6 -7 -8 -9 -10
Transcribed Image Text:Consider the function below: 8 5 3 2 10-9 -8 -7 -6 -5 -4 -3 -2 S 6 7 8 -2 -3 -4 -5 -6 -7 -8 -9 -10
Expert Solution
Step 1

Theory of end behavior of the graph f(x)=a1xn+a2x(n-1)+⋯ +an

When degree of the function is odd and leading coefficient is positive then graph will fall on the left and rises on the right.

When degree of the function is odd and leading coefficient is negative then graph will fall on the right and rises on the left.

When degree of the function is even and leading coefficient is positive then graph will  rise on left and right both sides.

When degree of the function is even and leading coefficient is negative then graph will  fall on left and right both sides.

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Power Series
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
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
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
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
SEE MORE TEXTBOOKS