Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output (y) for each input (x).

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represents a point in a coordinate system.

Front

What does it mean for a set of points to represent a function?

Back

A set of points represents a function if no two different ordered pairs have the same first element (x-value).

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, but each input must map to only 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, it is not a function.

Front

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

Back

Yes, this set is a function because each x-value is unique.

Front

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

Back

No, this set is not a function because the x-value '1' is associated with two different y-values (2 and 3).

Front

What is a domain in a function?

Back

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

Front

What is a range in a function?

Back

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

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b.