Range and Domain of Functions

Front

What is the definition of the domain of a function?

Back

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

Front

What is the definition of 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 is a discrete function?

Back

A discrete function is a function that has specific, separate values, often represented by distinct points on a graph.

Front

What is a continuous function?

Back

A continuous function is a function that has no breaks, jumps, or holes in its graph, meaning it can be drawn without lifting the pencil.

Front

Given the set of points {(0,1), (1,-3), (2,-4), (-4,1)}, what is the domain?

Back

D: {-4, 0, 1, 2}.

Front

Given the set of points {(0,1), (1,-3), (2,-4), (-4,1)}, what is the range?

Back

R: {-4, -3, 1}.

Front

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

Back

A set of ordered pairs represents a function if each input (x-value) is associated with exactly one output (y-value).

Front

Identify whether the following set is a function: {(1, 3), (2, 7), (3, 8), (4, 11)}.

Back

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

Front

Identify whether the following set is a function: {(2, 3), (4, 9), (3, 8), (4, 15)}.

Back

No, this set is not a function because the x-value 4 is associated with two different y-values (9 and 15).

Front

What is the inequality that describes the domain of a function if the graph shows values from -5 to 3?

Back

-5 ≤ x ≤ 3.