FUNCTIONS

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function. If a vertical line intersects the curve at more than one point, then it is not a function.

Front

What does it mean for a set of values to be a function?

Back

A set of values is a function if no two ordered pairs have the same first element (input) with different second elements (outputs).

Front

Identify the function: (1,2), (2,3), (3,4) or (1,2), (1,3), (2,4)

Back

(1,2), (2,3), (3,4) is a function because each input is unique.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to represent a point in a coordinate system, written as (x, y).

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, as long as each input corresponds to only one output.

Front

What is a domain in a function?

Back

The domain of a function is the set of all possible input values (x-values) that the function can accept.

Front

What is a range in a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

Is the following relation a function? {(1,2), (1,3), (2,4)}

Back

No, it is not a function because the input '1' corresponds to two different outputs (2 and 3).

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, represented by the equation y = mx + b.