Inverse Functions

Flashcard
•
Mathematics
•
8th Grade
•
Hard
+1
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is an inverse function?
Back
An inverse function reverses the operation of the original function, such that if f(x) = y, then f-1(y) = x.
Tags
CCSS.HSF-BF.B.4A
2.
FLASHCARD QUESTION
Front
How do you find the inverse of a function algebraically?
Back
To find the inverse, swap the x and y in the equation and solve for y.
Tags
CCSS.HSF-BF.B.4A
3.
FLASHCARD QUESTION
Front
If f(x) = 2x + 3, what is f-1(x)?
Back
f-1(x) = (x - 3)/2.
Tags
CCSS.HSF-BF.B.4A
4.
FLASHCARD QUESTION
Front
What is the notation for an inverse function?
Back
The notation for an inverse function is f-1(x).
5.
FLASHCARD QUESTION
Front
If f(x) = x - 4, what is f-1(x)?
Back
f-1(x) = x + 4.
Tags
CCSS.HSF-BF.B.4A
6.
FLASHCARD QUESTION
Front
What is the graphical representation of an inverse function?
Back
The graph of an inverse function is a reflection of the original function across the line y = x.
Tags
CCSS.HSF-BF.B.4C
7.
FLASHCARD QUESTION
Front
If f(x) = 5x, what is f-1(x)?
Back
f-1(x) = x/5.
Tags
CCSS.HSF-BF.B.4A
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