SOLUTION: 1.give an example of a non-numerical function that is not one to one 2.give an example of a graph of a function that: -is one to one -is not one to one

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: 1.give an example of a non-numerical function that is not one to one 2.give an example of a graph of a function that: -is one to one -is not one to one      Log On


   



Question 1157687: 1.give an example of a non-numerical function that is not one to one

2.give an example of a graph of a function that:
-is one to one
-is not one to one

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

1.Non-Numeric function
Non-Numeric function is a function need not involve numbers. An example of a function that does not use numbers is the function that assigns to each nation its capital.
example: Capital%28USA%29+=+Washington+D.C.
In the example given, the function, Capital%28x%29+=+y does not yield exactly one output per input.
Capital%28USA%29 = New+York+ and Capital%28USA%29+=+L+A are+arguably+valid+outputs for the input "USA." Generally a nation has only one+capital (at a time).
2.
give an example of a graph of a function that is a one-to-one function:
the function maps from exactly one value in the domain to each value in the range
example: the function f%28x%29+=+x%5E3 is an example of a one-to-one function

+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E3%29+

3.
give an example of a graph of a function that is not a one-to-one function:
If a horizontal line intersects the graph of f in more than one place, then f is not one-to-one and fails the horizontal line test.

example: f%28x%29=x%5E2%2B10x%2B5

+graph%28+600%2C+600%2C+-15%2C+10%2C+-15%2C+10%2C+x%5E2%2B10x%2B5%29+