Show:
Is the relation a function?
Inverse functions
Slope/Intercept
Transformations
Composite functions
100
(1,3) (2,3) (3,3) (4,3)
What is yes
100
The test you can use to determine if the graph of a function is invertible.
What is the Horizontal Line Test
100
Identify the slope and y-intercept: y= -11x - 44
What is m=-11, y-int= (0, -44)?
100
The transformation of the graph of f(x)=sqrt(x) to obtain the graph of y=sqrt(x)-3
What is shift down 3 units.
100
How you find (f(g(x)).
What is "Plug g(x) into f(x)"?
200
(1,3) (1, -3) (2, 2) (2, -2)
What is no.
200
If f(x) is invertible then (f o f^-1)(x) and (f^-1 o f)(x) equal this.
What is x?
200
The lope of a line perpendicular to y=-3x+3
What is m=1/3?
200
The transformation of the graph of f(x) to get to the graph of y=f(x-2).
What is shifting right 2 units.
200
Given f(x)=3x+2 and g(x)=2/x, this is (f o g)(2).
What is 5.
300
x^2+y^2=4
What is no.
300
THe inverse function of y=2^x.
What is log_2 x.
300
What is the slope of the equation: 2y= 3x+8?
What is m= 3/2?
300
The basic graph you would start with to obtain the graph of f(x)=1/(x-3) + 4
What is y=1/x.
300
The composition of f(x)=e^x and g(x)=ln(x)
What is x.
400
y=x^2 + 1
What is yes.
400
The inverse function of y=3x+2.
What is y=(x-2)/4?
400
This is the slope of the line going through the points (5,3) and (2,9).
What is -2?
400
If you are given a graph of f(x), this is how you would obtain the graph of y=2f(x+1)-3.
What is shift left 1, stretch vertically by 2, and shift down 3.
400
If f(x)=2x+4 and g(x)=x-1, this is f(g(x)).
What is y=2x+2
500
The test you can use to determine if a graph is of a function.
What is the Vertical Line test.
500
The inverse of y=(5/x)+4
What is y=5/(x-4)?
500
This is the equation of the line going through the points (2,-1) and (-7, 6).
What is y-6=-7/9(x+7)?
500
Graphs of -f(x) and f(-x) represent this type of transformation.
What is a reflection.
500
If f(x)=x and g(x)=x^2, this is the DOMAIN of (g/f)(x).
What is (-infty, 0) U (0, infty)?