Even, Odd or Neither
Flashcard
•
Mathematics
•
11th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
Wayground Content
FREE Resource
Student preview
16 questions
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1.
FLASHCARD QUESTION
Front
What is an even function?
Back
A function f(x) is called even if for every x in the domain, f(-x) = f(x). Graphically, even functions are symmetric about the y-axis.
Tags
CCSS.HSF.BF.B.3
2.
FLASHCARD QUESTION
Front
What is an odd function?
Back
A function f(x) is called odd if for every x in the domain, f(-x) = -f(x). Graphically, odd functions are symmetric about the origin.
Tags
CCSS.HSF.BF.B.3
3.
FLASHCARD QUESTION
Front
What does it mean if a function is neither even nor odd?
Back
A function is neither even nor odd if it does not satisfy the conditions for being even or odd. Its graph does not exhibit symmetry about the y-axis or the origin.
Tags
CCSS.HSF.BF.B.3
4.
FLASHCARD QUESTION
Front
Identify if the function f(x) = x^2 is even, odd, or neither.
Back
Even (since f(-x) = (-x)^2 = x^2 = f(x)).
Tags
CCSS.HSF.BF.B.3
5.
FLASHCARD QUESTION
Front
Identify if the function f(x) = x^3 is even, odd, or neither.
Back
Odd (since f(-x) = (-x)^3 = -x^3 = -f(x)).
Tags
CCSS.HSF.BF.B.3
6.
FLASHCARD QUESTION
Front
Identify if the function f(x) = x^4 + x^2 is even, odd, or neither.
Back
Even (since f(-x) = (-x)^4 + (-x)^2 = x^4 + x^2 = f(x)).
Tags
CCSS.HSF.BF.B.3
7.
FLASHCARD QUESTION
Front
Identify if the function f(x) = x^5 + x^3 is even, odd, or neither.
Back
Odd (since f(-x) = (-x)^5 + (-x)^3 = -x^5 - x^3 = -f(x)).
Tags
CCSS.HSF.BF.B.3
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