Function Vocab
Evaluating Function Rules
Is it a Function?
Independent and Dependent Variables
100

Each input of a function has how many outputs?

One

100

Evaluate f(x)=-3x if x=2

-6

100

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

Yes, because x does not repeat. Each input has only one output.

100

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.

200

The input and output variables are also known as the:

Independent and Dependent Variables

200

Evaluate f(x)=2x+1 if x=-2

-3

200

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

200

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.

300

The set of all possible output values is called the:

Range

300

Evaluate f(x)=-3 - x if x=6

-9

300

Is it a function?

No, because the input -2 has multiple outputs

300

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.

400

A way to express a function using a letter is called:

Function Notation

400

Evaluate f(x)=25 + 4x if x=5

45

400

Is it a function? 

Yes, because it passes the Vertical Line Test

400

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.

500

The test to tell if a graph is a function is called:

The Vertical Line Test

500

Evaluate f(x)=-(4x+2) if x=7

-30

500

Is it a function?

No, because it does not pass the Vertical Line Test

500

You are buying apples at $2.99 per pound.

The variables:

- Cost, in dollars

- Weight, in pounds

Weight is independent, and cost is dependent.

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