WorksheetsInverses
Total questions: 17
Worksheet time: 1hrs 7mins
Find the inverse for this relation: { (1, -3), (-2, 3), (5, 1), (6, 4) }
{ (1, 3), (2, 3), (5, 1), (6, 4) }
{ (-1, -3), (-2, -3), (-5, -1), (-6, -4) }
{ (3, -1), (-3, 2), (-5, 1), (4, -6) }
{ (-3, 1), (3, -2), (1, 5), (4, 6) }
Are f(x) =x+6 and g(x) =x-6 inverses?
Yes
No
Find the inverse: f(x) = 3x + 2
f-1(x) = 2x + 3
f-1(x) = -3x + 2
f-1(x) = (x-2)/3
f-1(x) = (x-3)/2
Graph the inverse
Is the inverse of this a function?
No
Yes
Is the inverse of this a function?
Yes
No
To graph the inverse of a function...
Rotate it around the origin
Reflect it across the x-axis
Reflect it across the y-axis
Switch the x and y coordinates and plot the new points
This line is...
The x-axis
The y-axis
y=x
You restrict the domain when...
The inverse is not a function
The inverse is a function
Restricting the domain is another way to say restricting the...
y-values
x-values
Odd numbers
Even numbers
Find the inverse
f-1(x) = 2x+16
f-1(x) = 2x-16
f-1(x) = 2x - 8
f-1(x) = x + 16
f-1(x) is written when...
The inverse is not a function
The function fails the HLT
The inverse is a function
There are two different functions
Find the inverse: f(x) = x3-1
f-1(x)= 3√x+1
f-1(x)= 3√x-1
f-1(x)= (x-1)/3
f-1(x)= (x+1)/3
When two functions are inverses of each other, their graphs are reflective over...
y=x
x-axis
y-axis
To prove two functions are inverses of each other, both f(g(x)) and g(f(x) should equal...
1
x
0
y
A function has an inverse function if...
It passes the Vertical Line Test
It fails the Horizontal Line Test
It passes the Horizontal Line Test
It fails the Vertical Line Test
Graph the inverse (Hint: look at y=x)
