Find the Inverse
Domain & Range
Solve for x
Transformations
100
For each function, find the inverse.
y=2x+1
What is
f^-1(x)=(x-1)/2
100
State the Domain of the given function:
f(x)=√x-7
What is:
[0,∞)
100
Solve.
√(x+11)=4
What is
x=5.
100
What is a square root function that is translated 4 units up and 7 units to the right?
What is
y=√(x-7)+4
200
For each function, find the inverse.
y=-2x^2-1
What is
f^-1(x)=±√((-x-1)/2)
200
State the Range of the given function:
f(x)=√x-7
What is:
[-7,∞)
200
Solve.
√3x=√(x+6)
What is:
x=3
200
Describe the following transformation.
y=√(x+1)-100
What is 1 unit to the left, and 100 units down.
300
For each function, find the inverse.
f(x)=(7-x)^2
What is:
f^-1(x)=±√x+7
300
What is the Domain of the given function?
f(x)=x^2+4
What is: All Real's.
300
Solve:
√(2x+3)=x
What is
x=3
300
Describe the transformation.
y=√4x
What is an horizontal compression by the factor 4.
400
What is the inverse?
f(x)=√(-x+3)
What is:
f^-1(x)=-x^2+3
400
What is the Range of the given function?
f(x)=x^2+4
What is:
[4,∞)
400
Is x = 1, a solution or extraneous solution?
For
√x+2=x
What is extraneous solution.
400
Describe the transformation.
y=√x
What is None, this is the parent function.
500
Find the inverse.
f(x)=1/(x+1)^2
What is:
±√(1/x)-1
500
What is the Domain of the given function?
f(x)=1/(x+1)^2
What is: All Real's except
x=-1
500
What is:
What is x approaches 2. or
x=2
500
What is a reflection across the x-axis, vertical shrink by the factor 1/2, 3 units to the right and 1 unit up.