Exploring Inverse Functions in Algebra II

What is the result of f(-9)?

• 5

• -7

• 6

• 9

What does f(f(-9) + 1) equal?

• 6

• 9

• 5

• -7

What characteristic makes a function invertible?

• The function passes the vertical line test only

• The function is linear

• Each x maps to a unique f(x)

• Mapping from a large domain to a small range

What is f inverse of 8?

• -7

• 9

• 5

• 6

How do you construct the table for f inverse?

• Divide each f(x) by 2

• Invert the signs of all values

• Swap the domain and range

• Square all the f(x) values

What does f inverse map from when given 7?

• 9

• 6

• -7

• 5

What is f(f inverse of 7)?

• 7

• 6

• -7

• 5

What is the result of f inverse of f inverse of 13?

• 5

• 6

• -9

• 13

What does the inverse function do?

• Maps from range back to domain

• Squares the function's input

• Doubles the output values

• Negates the function's output

How is the concept of function and inverse function best understood?

• By swapping the domain and range columns

• Through the application of real-world problems

• Using graphical representations only

• By memorizing the tables