Functions Flashcards
1
Q
What is an even function?
A
A function symmetric about the y-axis where f(-x)=f(x).
2
Q
What is an odd function?
A
A function symmetric about the origin where f(-x) = -f(x).
3
Q
How does basic arithmetic apply to even and odd functions?
A
Even * even = even. Even * odd = odd. Odd * odd = even.
4
Q
What are the options for a function being even and/or odd?
A
A function can be only even, only odd, both even and odd, or neither even nor odd.
5
Q
Is f(x) = cos(x) even or odd?
A
Even
6
Q
Is f(x) = sin(x) even or odd?
A
Odd
