Term | Definition |
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 |