Function Test (Mrs. Gerard)

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

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

How can you determine if a relation is a function?

Back

A relation is a function if no x-value is repeated in the ordered pairs.

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as x increases, y also increases.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing if, as x increases, y decreases.

Front

What is a constant function?

Back

A constant function is a function where the output value does not change, regardless of the input.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function; if a vertical line crosses the graph more than once, it is not a function.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

What does it mean for a function to be linear?

Back

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