Inverse Functions

Flashcard
•
Mathematics
•
11th Grade - University
•
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 effect of the original function. If f(x) = y, then the inverse function g(y) = x.
Tags
CCSS.HSF-BF.B.4A
2.
FLASHCARD QUESTION
Front
If f and g are inverse functions, what is true about f(g(x))?
Back
f(g(x)) = x for all x in the domain of g.
Tags
CCSS.HSF-BF.B.4B
3.
FLASHCARD QUESTION
Front
If f(2) = -1, what is g(-1)?
Back
g(-1) = 2, since f and g are inverse functions.
Tags
CCSS.HSF-BF.B.4C
4.
FLASHCARD QUESTION
Front
What is the graphical representation of inverse functions?
Back
Inverse functions are reflections of each other over the line y = x.
Tags
CCSS.HSF-BF.B.4C
5.
FLASHCARD QUESTION
Front
What does it mean for two functions to be inverses?
Back
Two functions are inverses if their compositions yield the identity function.
Tags
CCSS.HSF-BF.B.4B
6.
FLASHCARD QUESTION
Front
If g(1) = -2, what is f(-2)?
Back
f(-2) = 1, since f and g are inverse functions.
Tags
CCSS.HSF-BF.B.4C
7.
FLASHCARD QUESTION
Front
What is the line of reflection for inverse functions?
Back
The line of reflection is y = x.
Tags
CCSS.HSF-BF.B.4C
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