One-to-One Functions & Inverses (1-5A)

Front

What is a one-to-one function?

Back

A one-to-one function is a function where each output is produced by exactly one input, meaning no two different inputs map to the same output.

Front

What does it mean for two functions to be inverses of each other?

Back

Front

How can you determine if a function is one-to-one using the horizontal line test?

Back

A function is one-to-one if any horizontal line drawn through the graph intersects it at most once.

Front

What is the graphical representation of inverse functions?

Back

Front

How do you find the inverse of a function algebraically?

Back

Front

Back

Front

What is the significance of the domain and range in one-to-one functions?

Back

In one-to-one functions, the range of the function becomes the domain of its inverse, and vice versa.

Front

What is a function that is not one-to-one?

Back

Front

What is the relationship between the slopes of a function and its inverse?

Back

The slopes of a function and its inverse are reciprocals of each other at corresponding points.

Front

How do you verify if two functions are inverses?

Back