Parent Functions
Domain and Range
a, h, and k
Notation
Operations
100
f(x) = x
Name the function. Sketch the function.
What is a linear function?
100
All permissable inputs to a function.
What is the domain of a function?
100
The coordinates of a function's vertex, endpoint, or point of inflection.
What is (h,k)?
100
(-3, 3] is an example of this type of notation.
What is interval notation?
100
f(x)=-3x+4
g(x)=2x2
What is f(1)+g(-2)?
f(1) + g(-2) = 9
200
f(x) = x2
Name the function. Sketch the function.
What is a quadratic function?
200
All possible outputs of a function.
What is the range of a function?
200
This variable controls the horizontal shift of a function.
What is h?
200
-8 < x < 8 is an example of this type of notation.
What is inequality notation?
200
f(x) = 3(x2 + x - 3)
What is f(f(-1))?
f(f(-1)) = 207
300
f(x) = x3
Name the function. Sketch the function.
What is a cubic function?
300
The range of the function f(x) = 3(x-6)2+3
What is [3, infinity)?
What is y>=3?
300
A change in this variable can result in a reflection of a function.
What is a?
300
Solve for x.
-4x+3+x^{2}>24
-3<x<7
300
h(x) = x2+2x-8
g(x) = x-2
What is
(h(x))/g(x)
(h(x))/g(x)=x+4
400
f(x) = |x|
Name the function. Sketch the function.
What is an absolute value function?
400
The domain of the function f(x) = -2|x+3|+5.
What is all real numbers?
400
What are the transformations of f(x) = -|1/2x-3|+2?
Horizontal Stretch by a factor of 2.
Translation right 3 units.
Translation up 2 units.
Reflection over the x-axis.
400
What is the range of
f(x)=4x^2+3?
[3, infty)
400
If f(x) = 2x+1, the value of f(f(f(x))) when x is 2.
What is 23?
500
f(x) = bx
Name the function. Sketch the function.
What is an exponential function?
500
The parent functions whose domains do not include all real numbers.
What are even radical (root) functions?
500
What are the transformations of f(x) = 2(x+2)3+2?
Translation left 2 units.
Translation up 2 units.
Vertical Stretch by a factor of 2.
500
When is the graph
f(x) >0
?
(-infty, -3]U[-1,infty)
500
f(x) = 9w
g(x) = w3-3w+6
What is f(g(x))
f(g(x)) =9w4-27w2+54w