Functions

Vocabulary

100

Define domain.

The set of all input values to a function 

(X) values

200

Define range

The set of all output values from a function.

(y) values

300

Define relation.

Any system that pairs inputs with outputs.

400

Define function.

A relation that pairs each input with exactly one output.

500

Define "Function Machine"

In a function machine, an input number (x) could be transformed into an output number (y).

Domain & Range

100

Find the domain and range. {(-3,2),(-2,4),(-1,2),(5,4)}

D:{-3,-2,-1,5} R:{2,4}

200

Find the domain and range. {(-1,5),(2,3),(4,2),(10,2)}

D:{-1,2,4,10} R:{2,3,5}

300

Find the domain and range. {(-1,5),(2,3),(4,2),(-1,2)}

D:{-1,2,4} R:{2,3,5}

400

Find the domain and range. {(-3,4),(0,10),(11,8),(4,5)}

D:{-3,0,4,11} R:{4,5,8,10}

500

Find the domain and range. {(-5,8),(-5,4),(6,9),(3,10)}

D:{-5,3,6} R:{4,8,9,10}

Is it a function?

100

Is the following relation a function? {(-3,2),(-2,4),(-1,2),(5,4)}

What is yes?

200

Is the following relation a function? {(-1,5),(2,3),(4,2),(10,2)}

What is yes?

300

Is the following relation a function? {(-1,5),(2,3),(4,2),(-1,2)}

What is no?

400

Is the following relation a function?

CH1 - News

CH2- Sports

CH3 - News

CH4 - Movie

CH5 - Reality

Yes

500

Is the following relation a function?

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James       @ 239-452-3411

Darrell      @ 347-210-7533

Yes

Evaluate Functions

100

If x=5 evaluate y=x+3.

What is y=8?

200

If x=3 evaluate y=2x.

What is y=6?

300

If x=-1 evaluate y=5x+3.

What is y=-2?

400

If x=-3 evaluate f(x)=x^2.

What is f(-3)=9?

500

If x=-4 evaluate f(x)=|x|+3.

What is f(-4)=7?