Math worksheet
Robertohungb
OnetoOneFunctions1.pptx
One to One Functions
One to One Functions
Mapping
Graph
Equation
A one-to-one function is a function in which each output value corresponds to exactly one input value. There are no repeated x- or y-values.
One to One Functions
Ordered Pairs
Domain
Range
Not a function
Yes
A one to one function
Domain
Range
A function that is not
one to one
Decide if the following relations define one to one functions?
Find the domain and range in every case you have a function.
Examples
One to One Functions
Mapping
1
2
3
Domain
Range
A
B
4
1
2
3
A
B
4
1
2
3
Domain
Range
A
B
4
1
2
3
Domain
Range
A
B
4
A one to one
function
Not a function
Not one to
One function
A one to one
function
Examples
One to One Functions
Graph
Horizontal Line Test
A graph represents a function if any horizontal line drawn intersects the curve only once.
.
.
A function that is not one to one
Not a function
A function that is
not one to one
A one-to-one function is a function in which each output value corresponds to exactly one input value. There are no repeated x- or y-values.
One to One Functions
Equation
A one-to-one function is a function in which each output value corresponds to exactly one input value. There are no repeated x- or y-values.
Is the area of a circle a function of its radius?
Solve for
The area is a function of radius r.
If yes, is the function one-to-one?
Area of a circle of radius r
In this problem, because radii are always positive. So there is exactly one solution.
The area of a circle is a one to one functions of the circle’s radius.
Ex. is a one to one function.
