Unit 1 - Functions and Their Inverses

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

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What is an inverse function?

Back

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How do you find the inverse of a function given as a set of ordered pairs?

Back

To find the inverse, swap the x and y values in each ordered pair.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if it never assigns the same value to two different domain elements, meaning each output is unique.

Front

How do you determine if two functions are inverses of each other?

Back

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Front

How do you find the inverse of a linear function?

Back

To find the inverse of a linear function, solve the equation for x in terms of y, then swap x and y.