FUNCTIONS + RELATIONS

1) Verbal__Four ways of presenting functions: [Using the function f(x) = x + 1]__

...the input changes to an output after adding one unit to it.

2) Graphically: Graph

3) Numerically: Table of Values

4) Symbolically: Equation

f(x) = x + 1

__FLAVORS OF FUNCTIONS__

1)Many-to-One Function

This is when a function provides one output for two or more inputs.in the above example; when the input is -2 the output is 3.5, and when the input is 2 the output is 3.5 again.

2) One-to-One Function:

This is a kind function, where there's is only one output for one input.E.g f(x) = x - 3

FUNCTION COMPOSITION

Function composition dimply means: feeding a function into another.for e.g.

Note: We can use all the operations on function compositions.

TEST FOR FUNCTIONS:

This is done by the vertical line test, which ensures that there's only one output for each input.

e.g. 1\ Passes 2\ Fails

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