Docsity
Log inSign up
Docsity
Prepare for your exams
Prepare for your exams

Study with the several resources on Docsity

Earn points to download
Earn points to download

Earn points by helping other students or get them with a premium plan

Guidelines and tips
Guidelines and tips
Sell on Docsity
Sell on Docsity
Log inSign up

Prepare for your exams

Study with the several resources on Docsity

Find documents

Prepare for your exams with the study notes shared by other students like you on Docsity

Search Store documents

The best documents sold by students who completed their studies

Search through all study resources
Docsity AINEW

Summarize your documents, ask them questions, convert them into quizzes and concept maps

Explore questions

Clear up your doubts by reading the answers to questions asked by your fellow students

Earn points to download

Earn points by helping other students or get them with a premium plan

Share documents
download point icon20 Points

For each uploaded document

Answer questions
download point icon5 Points

For each given answer (max 1 per day)

All the ways to get free points
Get points immediately

Choose a premium plan with all the points you need

Study Opportunities

Choose your next study program

Get in touch with the best universities in the world. Search through thousands of universities and official partners

Community

Ask the community

Ask the community for help and clear up your study doubts

University Rankings

Discover the best universities in your country according to Docsity users

Free resources

Our save-the-student-ebooks!

Download our free guides on studying techniques, anxiety management strategies, and thesis advice from Docsity tutors

From our blog

Exams and Study
Go to the blog

Precalculus Symmetry of Function Worksheet Key, Exercises of Power Plant Engineering

Sam Houston State University (SHSU)Power Plant Engineering

Symmetries of functions exercise solutions in math 1410 at Sam Houston State University (SHSU)

Typology: Exercises

2020/2021

Uploaded on 04/20/2021

janeka
janeka 🇺🇸

4.1

(15)

260 documents

1 / 4

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
Worksheet 1.4A, Symmetries of functions
MATH 1410
(SOLUTIONS)
1. Graph the functions below and decide if they are even, odd, or neither even nor odd.
(a) f(x)=3x4+ 3
(b) f(x)=2x3
−x
(c) f(x)=2x3
−x+ 2
(d) f(x) = 1
x2+ 1
(e) f(x) = x
x2+ 1
Solutions.
(a) f(x)=3x4+ 3 is even.
(b) f(x)=2x3
−xis odd.
(c) f(x)=2x3
−x+ 2 is neither even nor odd.
(d) f(x) = 1
x2+ 1 is even. Here is the graph:
(e) f(x) = x
x2+ 1 is odd. Here is the graph:
pf3
pf4

Partial preview of the text

Download Precalculus Symmetry of Function Worksheet Key and more Exercises Power Plant Engineering in PDF only on Docsity!

Worksheet 1.4A, Symmetries of functions MATH 1410 (SOLUTIONS)

  1. Graph the functions below and decide if they are even, odd, or neither even nor odd.

(a) f (x) = 3x^4 + 3

(b) f (x) = 2x^3 − x

(c) f (x) = 2x^3 − x + 2

(d) f (x) = (^) x (^2 1) + 1

(e) f (x) = (^) x 2 x+ 1 Solutions. (a) f (x) = 3x^4 + 3 is even.

(b) f (x) = 2x^3 − x is odd.

(c) f (x) = 2x^3 − x + 2 is neither even nor odd.

(d) f (x) = (^) x (^2 1) + 1 is even. Here is the graph:

(e) f (x) = (^) x 2 x+ 1 is odd. Here is the graph:

  1. You are given the graphs of certain functions. Determine if the function is even, odd, or neither.

(a) (b)

(c) (d)

Solutions. (a) Even (b) Odd (c) Odd (d) Even

(e)

Solutions. (a) The period is 2π, slightly more than 6. (b) The period is 2. (c) The period is 2π, slightly more than 6. (d) The period is π, slightly more than 3. (e) The period is 2.

  1. There is a function which is both even and odd! What is it? Solution. If f (x) = 0 then the graph of y = 0 is just the x-axis. This has both odd and even symmetry!