Question 1157687

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(USA) = Washington D.C}}}.

 In the example given, the function, {{{Capital(x) = y}}} does not yield exactly one output per input.

 {{{Capital(USA)}}} = {{{New}}}{{{ York }}} and {{{Capital(USA) = 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(x) = x^3}}} is an example of a one-to-one function


{{{ graph( 600, 600, -10, 10, -10, 10, x^3) }}}


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(x)=x^2+10x+5}}}


{{{ graph( 600, 600, -15, 10, -15, 10, x^2+10x+5) }}}