Problem :
Are there any functions that are both odd and even?
Yes. The function
y = 0 is even and odd.
Problem :
Is the function f (x) = 4x even, odd, or neither?
Odd.
Problem :
Is the function f (x) = sin(x - ) even, odd, or neither? Use a
graphing utility if necessary.
Even.
Problem :
Is the function f (x) = x - 5 even, odd, or neither?
Neither.
Problem :
What is the inverse of the function y = 3x - 2, and is it a function?
The inverse is
y = . It is a function.
Problem :
What is the inverse of the function y = , and is it a function?
The inverse is the part of
y = x^{2} + 1 where
x≥ 0. It is a function.
Problem :
A piecewise function is defined this way: f (x) = - x for x < 0, f (x) = x^{2} for 0≤x≤3, f (x) = 3x for x > 3. What is f (- 7) + f (2) + f (4)?
f (- 7) + f (2) + f (4) = 7 + 4 + 12 = 23.