Chapter 1 Test Review

Vocabulary

100

Domain

What is the input, the x value, the independent variable

200

Range

What is the output, the dependent variable, the y variable

300

Define vertical line test.

What is used to determine if the graph of a relation is a function. Each x should be assigned only one y value. no 2 points should be over each other.

400

Define function.

What is a set of ordered pairs where each x-value is assigned only one y value

500

Define independent variable.

What is input, domain, x-value?

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 of f(x) = 1/x

What is all real number except 0 ( x≠0 )

400

Find the domain and the range of f(x) = 1/((x-2)(2x+3)

Domain is x≠2 and x≠ -3/2 Range is all real numbers except 0

500

Find the domain and range. f(x) = \/x-4 (square root of (x-4))

D: x is greater than or equal to 4 R: y is greater than or equal to 0

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),(2,5),(4,5),(10,5)}

What is yes?

300

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

What is no?

400

If the graph of a relation was a circle, would the relation be a function?

No

500

Is a horizontal line a function?

yes

Evaluate Functions

100

f(x) = 3x - 4 f(3)

What is 5.

200

f(x) = -3x - 4 f(3)

What is -13

300

f(x) = -2x² + 5 f(3)

What is -13

400

f(x) = 3x ² + 5. Find f(11)

What is 368.

500

f(x) = 3x² + 2x + 4 f(6)

What is 124

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)=x² 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)=x² +1 and g(x)=x-4 evaluate g(f(-2)).

What is 1?