Inverse Functions
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•
Mathematics
•
11th Grade
•
Medium
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1.
FLASHCARD QUESTION
Front
What is the definition of an inverse function?
Back
An inverse function is a function that reverses the effect of the original function. If the function f takes an input x to an output y, then the inverse function f⁻¹ takes y back to x.
Tags
CCSS.HSF-BF.B.4A
2.
FLASHCARD QUESTION
Front
What is the notation used for inverse functions?
Back
The notation for an inverse function is f⁻¹(x), where f is the original function.
3.
FLASHCARD QUESTION
Front
How do you find the inverse of a function algebraically?
Back
To find the inverse of a function algebraically, swap the x and y in the equation, then solve for y.
Tags
CCSS.HSF-BF.B.4A
4.
FLASHCARD QUESTION
Front
What is the relationship between a function and its inverse?
Back
A function and its inverse are reflections of each other across the line y = x.
Tags
CCSS.HSF-BF.B.4C
5.
FLASHCARD QUESTION
Front
What is the domain of an inverse function?
Back
The domain of the inverse function is the range of the original function.
Tags
CCSS.HSF-BF.B.4C
6.
FLASHCARD QUESTION
Front
What is the range of an inverse function?
Back
The range of the inverse function is the domain of the original function.
Tags
CCSS.HSF-BF.B.4C
7.
FLASHCARD QUESTION
Front
What is the horizontal line test?
Back
The horizontal line test is a method to determine if a function has an inverse. If any horizontal line intersects the graph of the function more than once, the function does not have an inverse.
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