Key Features of Functions
Transformations of Functions
Piecewise Defined Functions
100
What is the domain of the function? What is the range?
(-infininty, infinity) (-infinity, inifinity)
100
What is g(x) if f(x) = 2 is shifted 2 units down?
g(x) = 0
200
What are the intervals where the graph is increasing?
(-infinity, about -3.5) and (0, infinity)
200
f(x) = 2x is shifted 3 units to the right to make g(x). What is g(x)
g(x) = 2(x-3) or 2x-6
300
What is the rate of change on the interval [-2,0]?
-5/2
300
What is the equation for g(x) if f(x) = x2+1 is reflected across the x-axis?
g(x)=-x^2-1
400
What transformation of f(x) = x2 is applied to
g(x)=2(x+1)^2
One unit left and vertical stretch by factor of 2.
400
Write as a piecewise function.
g(x)=|-2x-6|
-2x-6 if x<-3 and 2x+6 if x is greater than or equal to -3
500
What is the vertex of the absolute value function
f(x)=-|x-a|+b
(a,b)