Inverse Functions

Front

What is an inverse function?

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How do you determine if two functions are inverses?

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Front

What is the domain restriction for the inverse function of a quadratic function?

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The domain of the original function must be restricted to ensure that it is one-to-one, typically by limiting it to either the left or right half of the parabola.

Front

What is the notation for an inverse function?

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Front

What is the graphical representation of inverse functions?

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Front

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

Back

At any point where the function and its inverse intersect, the slopes are reciprocals of each other.

Front

How do you find the inverse of a function algebraically?

Back

Front

What is the importance of the horizontal line test?

Back

The horizontal line test determines if a function is one-to-one. If any horizontal line intersects the graph more than once, the function does not have an inverse.

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