Ms. S facts
What is my favorite color?
Pink
What is the inverse function?
An inverse function "undoes" the original function, reversing its input and output.
image 1
domain: (2, 8]
range: [6, 8)
The inverse function reflects what on a graph?
The inverse function reflects y=x
f(x)=-x+3
f-1(x)=-x+3
What is my degree in?
Mathematics
What happens to the domain and range of the original function when it turns into the inverse function?
The domain and range switch
image 2
domain: [1, 10]
range: [-2, 7]
what is the inverse of f(x)= {(-6, 3), (-2, 4), (4, 0)}
f-1(x)= {(3, -6), (4, -2), (0, 4)}
f(x)=1/2 x-4
f-1(x)=2x+8
How old am I?
23
How do you notate the inverse function?
f-1(x)
image 3
domain: (-inf, inf)
range: [0, inf)
What is the range of the inverse function when the original functions domain is -6<x<7
range: -6<y<7
f(x)=5x+7
f-1(x)=1/5 x - 7/5
Where do I live?
Mesquite, TX
What is the purpose of the Vertical Line Test?
The vertical line test is a visual way to check if a graph is a function.
image 4
domain: [-4, 4]
range: [-5, 5]
is the inverse of f(x)=(x+6)2 a function?
no
f(x)=x2 -3
f-1(x)= √(x+3)
Where did I graduate from?
University of North Texas
What happens to the slope when converting to the inverse function?
It becomes the reciprocal i.e. it flips
image 5
domain: [-6, 20]
range: [-7, 8]
Is the inverse of f(x)=x2+6 a function? If not, what domain restriction on the original function would make it a function?
not a function, domain restriction: x≥0
f(x)=(x+3)2
f-1(x)= √(x) -3