Inverse Functions
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| How do you know if a function is a one to one function? | A one-to-one function, each x-value, which is the input, corresponds to only one y-value, which is the output, and each y-value corresponds to only ONE x-value.
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| f=(11,12),(4,3),(3,4),(6,6) One-to-one function? | Yes
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| How can you tell if a function is a one-to-one function? What test besides the vertical line test? | Horizontal Line Test
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| If every horizontal line intersects the graph of a function at most once, then the function is what? | A one-to-one function
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| All linear equations are one-to-one except whose graphs are vertical or...? | Horizontal lines
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| The inverse of a one-to-one function f is the one-to-one function f^-1 that consists of the set of all ordered pairs (y,x) where(x,y) belongs to...? | f
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| f=(11,12),(4,3),(3,4),(6,6) Find the inverse | f^-1=(12,11),(3,4),(4,3),(6,6)
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| f(x)=2x-3 Find the Rules | 1. y=2x-3
2. x=2y-3 then solve for y
3. x+3=2y then divide by 2
4. y=x+3 all divided over by 2
then replace y with f inverse of x
(0,-3) inverse of that is
(-3,0)
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| When graphing an inverse function, what form would most be helpful to you when trying to graph? | y=mx+b
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| Inverse functions have "switched" what? | Ordered-pair solutions
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| If you have the graph of the function what would you do to find the inverse of the graph? | Switch the x and y values
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Created by:
taylorkay19
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