Inverse Functions S1 Review

Flashcard
•
Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the horizontal line test used for?
Back
The horizontal line test is used to determine if a function has an inverse function. If any horizontal line intersects the graph of the function more than once, the function does not have an inverse.
2.
FLASHCARD QUESTION
Front
How do you find the inverse of a function?
Back
To find the inverse of a function, swap the x and y variables in the equation and solve for y.
3.
FLASHCARD QUESTION
Front
What is the notation for the inverse of a function f(x)?
Back
The inverse of the function f(x) is written as f^{-1}(x).
4.
FLASHCARD QUESTION
Front
If f(x) = 3x + 2, what is f^{-1}(x)?
Back
f^{-1}(x) = \frac{x - 2}{3}.
5.
FLASHCARD QUESTION
Front
What does it mean for two functions to be inverses of each other?
Back
Two functions are inverses of each other if applying one function followed by the other returns the original input.
6.
FLASHCARD QUESTION
Front
If f(x) = x + 5, what is f^{-1}(x)?
Back
f^{-1}(x) = x - 5.
7.
FLASHCARD QUESTION
Front
What is the first step in finding the inverse of a function?
Back
The first step is to replace f(x) with y.
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