Inverse Functions

Front

What is the notation for an inverse function?

Back

Front

What is an inverse function?

Back

Tags

CCSS.HSF-BF.B.4A

Front

How do you find the inverse of a function algebraically?

Back

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

Tags

CCSS.HSF-BF.B.4A

Front

What is the relationship between a function and its inverse?

Back

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CCSS.HSF-BF.B.4C

Front

What is the domain of an inverse function?

Back

The domain of the inverse function is the range of the original function.

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CCSS.HSF-BF.B.4C

Front

What is the range of an inverse function?

Back

The range of the inverse function is the domain of the original function.

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CCSS.HSF-BF.B.4C

Front

What is the graphical representation of an inverse function?

Back

Tags

CCSS.HSF-BF.B.4C

Front

What is the condition for a function to have an inverse?

Back

A function must be one-to-one (bijective) to have an inverse.

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CCSS.HSF-BF.B.4D

Front

How can you determine if a function is one-to-one?

Back

A function is one-to-one if it passes the horizontal line test, meaning no horizontal line intersects the graph more than once.

Front

Back

Tags

CCSS.HSF-BF.B.4A