Check for Understanding#2 - Verify and justify algebraically whether each function is even, odd, or neither. Steps 1. g(x) = x4 – 2x² Substitute -x into the function; Find f(- 2. Simplify the function 3. Determine the type | Even: If f(-x) is the same as the orieinal function fly)(all the sa

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,...
icon
Related questions
Question
LT: I will be able to review learning about parent functions, even and odd functions graphically and algebraically in order to understand these topics better.
Check for Understanding#2 - Verify and justify algebraically whether each
function is even, odd, or neither.
Steps
1. Substitute -x into the function; Find f(-x)
g(x) = x* – 2x2
2. Simplify the function
3. Determine the type
Even: If f(-x) is the same as the
original function f(x) (all the same
signs); f(-x) = f(x)
Odd: f(-x) has all the signed
changed from the original
function; (-x) = -f(x)
Neither even nor odd: if f(-x) has
some signed changed but not all.
4. Write your conclusion sentence.
You can also check algebraically using the following
Write your written response here: This function is (even, odd or
neither) because.
way:
All the exponents of the variables of the function
are
Even: even number.
Odd: odd number.
Neither even nor odd: mix of even and odd
numbers.
Transcribed Image Text:LT: I will be able to review learning about parent functions, even and odd functions graphically and algebraically in order to understand these topics better. Check for Understanding#2 - Verify and justify algebraically whether each function is even, odd, or neither. Steps 1. Substitute -x into the function; Find f(-x) g(x) = x* – 2x2 2. Simplify the function 3. Determine the type Even: If f(-x) is the same as the original function f(x) (all the same signs); f(-x) = f(x) Odd: f(-x) has all the signed changed from the original function; (-x) = -f(x) Neither even nor odd: if f(-x) has some signed changed but not all. 4. Write your conclusion sentence. You can also check algebraically using the following Write your written response here: This function is (even, odd or neither) because. way: All the exponents of the variables of the function are Even: even number. Odd: odd number. Neither even nor odd: mix of even and odd numbers.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education