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
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,...
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F89374d65-7b23-4b27-8858-a54db64c649a%2F0b2d8d6d-0ff8-4f8e-b565-fdc624009c7c%2Flc7rn5g_processed.jpeg&w=3840&q=75)
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.
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