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module 22

inverse functions, one-to-one functions

Is the following a one-to-one function f={(-4,-4),(8,8),(5,1)(1,5)} If so what is the inverse function yes f^-1={(-4,-4),(8,8),(1,5),(5,1)}
What makes a function one-to-one? If each x-value (input) matches the y-value (output) and if each y-value(input) matches each-value(output).
if given the function f(x)=x^3+3 a.f(3) b.f^-1(30) the answer of a. would be f(3)=30 and b. f^-1(30)=3 since it is one-to-one remember that (f* f^1)(x)=x and (f^-1*f)(x)=x
How can you tell if a graph is a one-to-one function? if it passes through every horizontal line if it does go through every horizontal line than it is not a one-to-one function.
graphing one to one functions are simple for example what would be the inverse function of f(x)=3x+4 and what would be the points answer is f^-1(x)=(x-4)/3 and the points for the following would be f(x)=3x+4 (0,4),(1,7),(2,10) f^-1(x)=(x-4)/3 (0,
find the inverse of f(x)=1-5x/4x f^-1(x)=1/4x+5
Created by: edgarigl26