All College Algebra Resources
Example Questions
Example Question #11 : Symmetry
Consider the function .
Is an even function, an odd function, or neither?
Possible Answers:
Even
Odd
Neither
Correct answer:
Even
Explanation:
A function is even if, for each in its domain,
.
It is odd if, for each in its domain,
.
Substitute for in the definition:
Since , is an even function.
Example Question #12 : Symmetry
is an even function. Let .
Is an even function, an odd function, or neither?
Possible Answers:
Odd
Neither
Even
Correct answer:
Odd
Explanation:
A function is even if, for each in its domain,
.
It is odd if, for each in its domain,
.
Substitute for in the definition of :
Since is even, , so
This makes an odd function.
Allyn
Certified Tutor
Certified Tutor
Indiana Wesleyan University, Master of Science, Business Administration and Management.
All College Algebra Resources
Popular Subjects
ACT Tutors in Seattle, English Tutors in Phoenix, Chemistry Tutors in San Francisco-Bay Area, Reading Tutors in Denver, ACT Tutors in Los Angeles, Reading Tutors in Dallas Fort Worth, Computer Science Tutors in Washington DC, Statistics Tutors in Philadelphia, GMAT Tutors in Dallas Fort Worth, GRE Tutors in Houston
Popular Courses & Classes
ISEE Courses & Classes in New York City, GMAT Courses & Classes in San Francisco-Bay Area, GRE Courses & Classes in Miami, SSAT Courses & Classes in Miami, SAT Courses & Classes in Phoenix, SSAT Courses & Classes in Washington DC, GRE Courses & Classes in Philadelphia, SAT Courses & Classes in Denver, GMAT Courses & Classes in Los Angeles, LSAT Courses & Classes in Houston
Popular Test Prep
MCAT Test Prep in New York City, SSAT Test Prep in Boston, MCAT Test Prep in San Francisco-Bay Area, SAT Test Prep in Phoenix, ISEE Test Prep in Philadelphia, SAT Test Prep in Dallas Fort Worth, SAT Test Prep in Houston, LSAT Test Prep in Phoenix, GRE Test Prep in Atlanta, LSAT Test Prep in Houston