Show:
Vocabulary
Evaluating Function Rules
Interpreting Function Notation
Domain & Range
Is it a Function?
100
What is the definition of domain?
A set of input values (all values of x).
100
Evaluate f(2) if f(x)=-3x
f(2) = -6
100

The cost to manufacture x number of chairs can be represented by the function C(x)=36x. In this context, what does the statement C(63)=2268 mean?

FILL IN THE BLANK: It costs _____ to make _____ chairs.

It costs $2268 to make 63 chairs.

100
State the domain and range:
x y
3 7
5 9
3 8
D: {3, 5} R: {7, 8, 9}
100

Is it a function? {(2, 3), (4, 5), ( -2, 6)}

Yes, each input has exactly one output.

200
What is the definition of range?
The set of output values (all values of y).
200
Evaluate f(7) if f(x)= -(4x+2)
f(7) = -30
200

The cost for x gallons of heating oil can be represented by the function f(x)=4x+6. In the context of the problem, fill in the blank with the correct meaning of f(5) = 26.

It costs _____ to get _____ gallons of heating oil.


It costs $26 to get 5 gallons of heating oil.

200

State the domain and range:

All real numbers 

200

Not a function

300

What is the definition of a function?

a) An input and output relationship

b) An independent and dependent variable relationship

c) For every domain value, there is a range value to go with it

d) all of the above

All of the above!
300

Evaluate f(-6) if f(x)=x2 - 9

f(-6) = 27

300

Jeremy is buying a lot of disc golf frisbees. The function f(x) = 15x + 5 represents the cost f(x) of buying x frisbees.

How much will it cost Jeremy if he wants to buy 10 frisbees?

f(10) = 15(10) + 5

f(10) = 150 + 5

f(10) = $155

300

State the domain

-3 < x < 5

300
Is it a function? Justify your answer.
x y
2 4
1 5
2 6
No, the input of 2 has two different outputs.
400

What is the visual test to tell if a graph is a function?

HINT: It's not horizontal

Vertical Line Test

400

Evaluate f(4) if f(x)=25 - 4x

f(4) = 9

400

Keith is driving from Orlando to Tampa for a disc golf competition. He has 145 miles to drive and is traveling at 45mph.

The function f(x) = 145 - 45x represents the distance f(x) Keith has left to drive after x hours of driving. After 3 hours, how much farther does Keith have to drive?

f(3) = 145 - 45(3)

f(3) = 10

Keith has 10 miles to go

400

What is the domain?



All real numbers

400
Is it a function? Justify your answer.
Yes, it passes the Vertical Line Test.
500

Is the following situation classified as discrete or continuous?

The temperature is slowly rising in a classroom where the air conditioning has gone out. It started at 72-degrees and now it's 80-degrees!

Continuous, because temperature doesn't rise 1-degree at a time. Decimal values for temperature exist.

500

Evaluate f(3) if f(x)=3x2 + 5x - 2

f(3) = 40

500

What is the range?

y > -6

500

Function!

It's ok that the 4 and 2 both point to 9.