Domain and Range
Key Features of Graphs
Functions
TRANSFORMATIONS
COMPOSITION AND OPERATIONS OF FUNCTIONS
100
The domain of a quadratic function
What is all real numbers?
100
The y-intercept of the given graph:
What is 2?
100
State if the graph represents a function:
What is yes?
100
Identify the transformations of the graph of f.
f(x)=[x], h(x)=-[x]+6
What is reflection across x axis and vertical shift up 6 units?
100
Let
f(x)=4x-1 and g(x)=2x^2+3.
. Then
f(x)*g(x)
equals what?
What is
8x^3-2x^2+12x-3?
200
Determine the domain of the function: h(x)=x/(x^2 - x -6)
What is all real numbers except x cannot equal 3 or -2?
200
The minimum of the given graph:
What is (-2, -2)?
200
Given f(x)=x^2+7 find f(3) .
What is 16?
200
Identify the transformation on f(x) to get h(x):
f(x)=x^2, h(x)=(x-3)^2-2
What is translated right 3 units and down 2 units?
200
Let f(x)=3x and g(x)=2x+4. Find (f o f)(-2).
What is -18?
300
Find the x- and y- intercepts of the graph of the equation: y=(x+1)^2
What is x-int=-1 and y-int= 1?
300
The x-intercepts of the given graph:
What are -3.5, -0.5, and 3.8?
300
Given
g(x)=(7x+18)/2 find g(2).
What is 16?
300
Identify the transformations of the graph of f.
f(x)=x^2, h(x)=-(x+3)^2+1
What is reflection across x-axis, horizontal shift left 3 units and vertical shift up 1 unit?
300
Let f(x)=x^2-5 and g(x)=3x+2 Find -2f(x)+g(x) .
What is
-2x^2+3x+12?
400
the domain and range of y=|x+2|
What is all real numbers (domain) and y is greater than or equal to 0 (range)?
400
The domain and range of the given graph:
What is D=[-4,4] and R=[-2,2]?
400
Given the graph, find f(-4).
What is 2?
400
What is the translation shown here?
f(x)=|x-1|-1
What is 1 unit right and 1 unit down?
400
Let f(x)=3x and g(x)=2x+4. Find (f o g)(1).
What is 18?
500
the domain of y = SQRT (2x+3)
What is x is greater than or equal to -3/2?
500
The increasing intervals for the given graph:
What is (-2,0)?
500
Given the graph, find x when f(x) = 0.
What is -5 and 0?
500
The transformations applied to this parent function:
-2(3^(x+2))-8
What is reflected over the x-axis, stretched by a factor of 2, translated left 2 and down 8?
500
If f(x)=2x+3, Find f(-3).
What is -3?