Evaluating Functions
Composition of Functions
Transformations
Even and odd functions
Domain
100
Evaluate G(-2)
f(-2) = 2
100
Evaluate f o g(-2) when f(x) = 2x and g(x) = x+2
What is 0?
100
Describe the transformations of the following function
f(x - 3) +1
Right 3 units
Up 1 Unit
100
Is y = x2 odd, even, or neither
What is even?
100
What is the domain of y = square root of (x +3)
What is [-3,infinity)
200
f(x) = |x-3|. Find f (2x)
What is f(x)=|2x-3|
200
Evaluate g o f(-2) when f(x) = 2x and g(x) = x+2
What is -2
200
Describe the transformation from the parent function (solid line) and the transformed function (dotted line).
Left 5 units
Down 2 units
200
Is y =x3 odd, even or neither?
What is odd?
200
What is the domain of y = x^2 + 5
(- infinity, infinity)
300
Find the values of x when f(x) = 3
x = 3 and 7
300
Evaluate f(g(-3)) using the functions below.
f(x) = 3x^2 -10x g(x)= 3x + 12
-3
300
Given the parent function f(x), write the transformed function given the following transformations.
Right 5 units and up 2 units.
f(x - 5) + 2
300
If a function is odd and (5,6) is on its graph, then name another point on the graph
What is (-5, -6)
300
What is the domain of y = |x+2|
(-infinity, infinity)
400
Find x when g(x) = 30
g(x) = -3x + 12
x = -6
400
Evaluate g(f(x)) using the functions below.
f(x) = 3x^2 -10x g(x)= 3x + 12
-9
400
Given the parent function g(x) (solid line), write the function of the transformed function (dotted line).
g(x - 1) + 3
400
If a function is even and (-4,1) is on its graph, then name another point on the graph
What is (4, 1)
400
What is the domain of y = (x-2)/(x+4) ?
What is (-inf., -4) U ( -4, inf.)
500
Evaluate h(2x - 5).
h(x)=x^2 +10
4x^2 -20x+35
500
Evaluate f(g(x)) using the functions below.
f(x) = x^2+8 g(x)= 3x -2
9x^2 - 12x+12
500
If g(x) = f(x + 2) - 3, sketch the transformed graph of g(x)
500
Odd functions have rotational symmetry with_______ and even functions have reflective symmetry with ____________
Origin, y-axis
500
What is the domain of y = 1 / sqrt(x-4)
What is (4, infinity)