Domain and Range

Front

What is the definition of Domain in a function?

Back

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

Front

What is the definition of Range in a function?

Back

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

Front

How do you determine the Domain of a linear function?

Back

Identify the x-values for which the function is defined, often represented as an interval.

Front

What does the notation -3 < x ≤ 5 represent?

Back

It indicates that x can take any value greater than -3 and up to and including 5.

Front

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

Back

All real numbers, since a linear function is defined for every x.

Front

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

Back

All real numbers, since a linear function can produce any y-value.

Front

What is the Domain of the function f(x) = 1/x?

Back

All real numbers except x = 0, since the function is undefined at x = 0.

Front

How do you find the Range of a quadratic function?

Back

Analyze the vertex and direction of the parabola to determine the minimum or maximum y-value.

Front

What does the notation x > -3 indicate?

Back

It means that x can take any value greater than -3, but not -3 itself.

Front

What is the Domain of the function graphed with endpoints at (1, 0) and (5, 0)?

Back

The Domain is [1, 5], including both endpoints.