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Inverse Functions

TermDefinition
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.
f=(11,12),(4,3),(3,4),(6,6) One-to-one function? Yes
How can you tell if a function is a one-to-one function? What test besides the vertical line test? Horizontal Line Test
If every horizontal line intersects the graph of a function at most once, then the function is what? A one-to-one function
All linear equations are one-to-one except whose graphs are vertical or...? Horizontal lines
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
f=(11,12),(4,3),(3,4),(6,6) Find the inverse f^-1=(12,11),(3,4),(4,3),(6,6)
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)
When graphing an inverse function, what form would most be helpful to you when trying to graph? y=mx+b
Inverse functions have "switched" what? Ordered-pair solutions
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
Created by: taylorkay19
 

 



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