click below
click below
Normal Size Small Size show me how
module 22
inverse functions, one-to-one functions
Question | Answer |
---|---|
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 |