Functions - Domain and Range

Front

What is a function?

Back

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

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

How do you determine if a relation is a function?

Back

A relation is a function if each input (x) corresponds to exactly one output (y).

Front

What does it mean if a function is linear?

Back

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

Front

What is the domain of the function f(x) = 2x + 3?

Back

The domain is all real numbers, (-∞, ∞).

Front

What is the range of the function f(x) = 2x + 3?

Back

The range is all real numbers, (-∞, ∞).

Front

What is the domain of the function f(x) = √(x - 1)?

Back

The domain is x ≥ 1.

Front

What is the range of the function f(x) = √(x - 1)?

Back

The range is y ≥ 0.

Front

What is the domain of the function f(x) = 1/(x - 2)?

Back

The domain is all real numbers except x = 2.