**Problem : **
Are there any functions that are both odd and even?

**Problem : **
Is the function
*f* (*x*) = 4*x*
even, odd, or neither?

**Problem : **
Is the function
*f* (*x*) = sin(*x* - )
even, odd, or neither? Use a
graphing utility if necessary.

**Problem : **
Is the function
*f* (*x*) = *x* - 5
even, odd, or neither?

**Problem : **
What is the inverse of the function
*y* = 3*x* - 2
, and is it a function?

**Problem : **
What is the inverse of the function
*y* =
, and is it 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*) = 3*x*
for
*x* > 3
. What is
*f* (- 7) + *f* (2) + *f* (4)
?

Take a Study Break!