Algebra Functions

Vocabulary

100

Define domain.

what is the input or x value?

200

Define Range

What is the output or the y value?

300

Define vertical line test.

An imaginary vertical line to check if a graph is a function or not?

400

Define function.

What is a relation where the input has one and only one output?

500

Another word for rate of change.

What is the constant of proportionality or k?

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?

Yes

500

Is the following relation a function? Graph on board.

No

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?

Evaluate Multiple Functions

100

If f(x)=x+4 and g(x)=3x evaluate f(5)+g(2).

What is 15?

200

If f(x)=2x+4 and g(x)=x-4 evaluate f(4)–g(-1).

What is 17?

300

If f(x)=5x-3 and g(x)=x^2 evaluate f(3)•g(4).

What is 192?

400

If f(x)=x+2 and g(x)=9/x evaluate f(g(3)).

What is 5?

500

If f(x)=x^2+1 and g(x)=x-4 evaluate g(f(-2)).

What is 1?