Inverse Functions

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•
Mathematics
•
10th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is an inverse function?
Back
An inverse function reverses the operation of the original function. If f(x) takes an input x and produces an output y, then the inverse function f-1(y) takes y and produces x.
2.
FLASHCARD QUESTION
Front
How can you visually determine if a function is one-to-one?
Back
You can use the horizontal line test. If any horizontal line intersects the graph of the function more than once, the function is not one-to-one.
3.
FLASHCARD QUESTION
Front
What is the horizontal line test?
Back
The horizontal line test is a method to determine if a function is one-to-one by checking if any horizontal line intersects the graph more than once.
4.
FLASHCARD QUESTION
Front
Find the inverse of the function f(x) = 2x + 3.
Back
f-1(x) = (x - 3)/2.
5.
FLASHCARD QUESTION
Front
Find the inverse of the function f(x) = 5x - 7.
Back
f-1(x) = (x + 7)/5.
6.
FLASHCARD QUESTION
Front
What is the inverse of the function f(x) = 3x - 5?
Back
f-1(x) = (x + 5)/3.
7.
FLASHCARD QUESTION
Front
Find the inverse of the function f(x) = (x - 5)/3.
Back
f-1(x) = 3x + 5.
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