Vocabulary
Domain & Range / Is it a function? / Dependent & Independent
Rate of Change & Initial Value
Evaluate Functions
Linear or Nonlinear?
100

Define domain.

the x-values in a relation
100

Find the domain and range. {(-3,2),(-2,4),(-1,2),(5,4)}. Is it a function?

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

100
Rate of change is also known as what?

slope

100

If f(x) = 3 + x, find f(2).

f(2) = 5

100

Is this a linear or nonlinear function?

y = -2x

Linear
200

Define Range

the y-values in a relation

200

Find the domain and range. {(-1,5),(2,3),(2,2),(10,2)}. Is it a function?

D:{-1,2,10} R:{2,3,5}; Yes!

200

Initial value is also known as what?

y-intercept

200

If f(x)=2x + 5, find f(-1).

f(-1) = 3

200

Is this a linear or nonlinear function?

y = -x2 + 1

Nonlinear

300

Define vertical line test.

a way to determine if a graph is a function

300

Is this a function? y = x2 ; What type of function is it?

Yes; It is a quadratric function / parabola

300

My bank account starts off with $100. Everyday, I add $5 more into my account. Write this as an equation in slope-intercept form. Then use it to find how much money you will have on the 10th day.

y = 5x + 100; You will have $150. 

300

If f(x) = (-1/3)x -1, find f(-3).

f(-3) = 0

300

True or False: A parabola is an example of a linear function.

False

400

Define function.

a relation in which each input results in exactly one output

400

You make $10 a hour working as a camp counselor during the summer. Identify the independent and dependent variables.

Independent: # of hours

Dependent: Amount of $ earned

400

The following ordered pairs represent the height of a plant (in inches) after a certain amounts of days. 

(2,10) , (3, 10.5) , (4,11) , (5 , 11.5)

Assume the relationship is linear. Use these ordered pairs to determine the rate of change and the initial value.

rate of change = 0.5 inches per day

initial value = 9 inches

400
If f(x) = -(x2 ) - 5, find f(-3).

f(-3)= -14

400

Is this a linear or nonlinear function?

y = (1/x) + 7 

Nonlinear

500

Define independent variable.

domain, x-value, input

500

Each hour of the day that passes, a jug of water will be emptied by 1 liter. Identify the independent and dependent variables.

Independent: # of hours

Dependent: amount of water

500

A zoo charges a rental fee plus $2 per hour to rent strollers. The total cost for a 5 hour rental is $13. Assume the relationship is linear. Find and interpret the rate of change and the initial value. Write your equation in slope-intercept form.

rate of change = $2

initial value = $3

y = 2x + 3

500

If f(x) = x3 -12, find f(2).

f(2) = - 4

500

Is this a linear or nonlinear function?

2x + y = -1

Linear

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