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Brief Review of Functions
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Functions, Limits, and Continuity

 
 

Problems for "Brief Review of Functions"

 
Problem 1.1: Classify each of the following as a function of x, a one-to-one function, or neither:
a) y = 2x4 - 6
b) y =
c) y = 4x + 7
d) x = y2
 
Problem 1.2: What is the domain and range of each of the following functions?
a) y = 3sin(2x)
b) y =
 
Problem 1.3: Let


f (x)   = 4x - 2  
g(x)   = x2  


a) Find fog(2)
b) Find gof(2)
 
Problem 1.4: Consider the following piecewise function:

f (x) =    


Find the following:
a) f (- 1)
b) f (5)
c) f (10)
 
Problem 1.5: 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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