# Functions, Limits, Continuity

### Problems for "Brief Review of Functions"

Problem : Classify each of the following as a function of x , a one-to-one function, or neither:
a) y = 2x 4 - 6
b) y =
c) y = 4x + 7
d) x = y 2

Problem : What is the domain and range of each of the following functions?
a) y = 3sin(2x)
b) y =

Problem : Let

 f (x) = 4x - 2 g(x) = x 2

a) Find f o g (2)
b) Find g o f (2)

Problem : Consider the following piecewise function:

 f (x) =

Find the following:
a) f (- 1)
b) f (5)
c) f (10)

Problem : Is this function even, odd, or neither?
a) f (x) = cos(x)
b) f (x) = sin(x)
c) f (x) = tan(x)
d) f (x) = cos(x + )

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