### About Relations and Functions:

A relation is any set of ordered pairs (x,y). A relation where each first component or x-value corresponds to exactly one and only one second component or y-value is called a function. In other words, each x-value can only be associated or linked to exactly one y-value.

Test Objectives

- Demonstrate the ability to determine if a relation is a function
- Demonstrate the ability to find the domain and range of a function

#1:

Instructions: determine if each relation is a function, state the domain and range.

$$a)\hspace{.2em}\{(-2,3), (5,-7), (-2,15), (1,-1)\}$$

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#2:

Instructions: determine if each relation is a function, state the domain and range.

$$a)\hspace{.2em}\{(-1,-5), (9,-3), (7,-5), (3,3)\}$$

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#3:

Instructions: determine if each relation is a function, state the domain and range.

$$a)\hspace{.2em}\{(13,10), (-5,-5), (7,9), (11,2)\}$$

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#4:

Instructions: determine if the given relation is a function.

a)

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#5:

Instructions: determine if the given relation is a function.

a)

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Written Solutions:

#1:

Solutions:

a) Not a Function, Domain: {-2,5,1}, Range: {3, -7, 15, -1}

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#2:

Solutions:

a) Function, Domain: {-1,9,7,3}, Range: {-5, -3, 3}

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#3:

Solutions:

a) Function, Domain: {13, -5, 7, 11}, Range: {10, -5, 9, 2}

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#4:

Solutions:

a) Function

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#5:

Solutions:

a) Not a Function