Properties of Functions

Range

100

The set of all possible output values for a function.

Range

200

The range of the horizontal line y = 5.

{5}

300

The range of f(x) = x^2 for all real numbers.

All non negative numbers

400

For the function graphed from (0,0) to (5,10), this inequality represents the range.

0 greater than equal to y greater than equal to 10

DOUBLE SHOT!

500

The domain of f(x) = squareroot{x-5} in inequality notation

 (y is greater than or equal to 3).

Domain

100

The set of all possible input values for a function.

Domain

200

In the ordered pairs {(1,2), (3,4), (5,6)},___ these three numbers make up the domain.

{1,3,5}

300

The domain of the function f(x) = 2x + 1

All Real Numbers

400

The domain of the function f(x)=1/x-4

x does not equal 4

500

The domain of f(x)=square root of x-5

x is greater than or equal to 5

General

100

A relationship where every input has exactly one output.

Function

200

A visual test used on a graph to determine if a relation is a function.

Vertical Line Test

300

This term describes the variable \(x\) in the function \(f(x) = y\).

Independent Variable

400

A function whose graph is a straight line and has a constant rate of change.

Linear Function

500

A sequence of numbers where the difference between consecutive terms is constant.

Arithmectic Sequence

Formulas

100

The standard notation used to name a function, often seen as f(x)

Function Notation

200

The formula used to find the "rate of change" between two points.

Slope formula

300

The formula used to calculate the n^th term of an arithmetic sequence.

a_n=a₁+(n-1)d

400

In the linear formula f(x) = mx + b, this letter represents the y-intercept.

b

500

The specific formula used to find the "Common Difference" in a sequence.

d=a_n-a_n-1

_{DOUBLE SHOT!}