Each input of a function has how many outputs?
One
Evaluate f(x)=-3x if x=2
-6
Is it a function? {(2, 3), (4, 5), ( -2, 6)}
Yes, because x does not repeat. Each input has only one output.
A car is driving at a constant speed of 60 mph. The longer the car is driven, the more distance the car covers.
The variables:
- Time, in hours
- Distance traveled, in miles
Which variable is independent and which is dependent?
Time is independent, and distance is dependent.
The input and output variables are also known as the:
Independent and Dependent Variables
Evaluate f(x)=2x+1 if x=-2
-3
Using the vertical line test does the graph of the points (1,3) and (1,5) represent a function?
No, as the points fail the vertical line test
A student earns $15 per hour working a part time job.
The variables:
- Time worked, in hours
- Earnings, in dollars
Time worked is independent, and earnings is dependent.
The set of all possible output values is called the:
Range
Evaluate f(x)=-3 - x if x=6
-9
Is it a function?

No, because the input -2 has multiple outputs
A utility company charges 5 cents per 10 gallons of water used.
The variables:
- Water used, in gallons
- Cost, in dollars
Water used is independent, and cost is dependent.
A way to express a function using a letter is called:
Function Notation
Evaluate f(x)=25 + 4x if x=5
45
Is it a function? 
Yes, because it passes the Vertical Line Test
A person burns approximately 11.4 calories per minute while running.
The variables:
- Calories burned
- Time, in minutes
Time ran is independent, and calories is dependent.
The test to tell if a graph is a function is called:
The Vertical Line Test
Evaluate f(x)=-(4x+2) if x=7
-30
Is it a function? 
No, because it does not pass the Vertical Line Test
You are buying apples at $2.99 per pound.
The variables:
- Cost, in dollars
- Weight, in pounds
Weight is independent, and cost is dependent.