Review: Domain & Range of Linear Functions

Front

What is the Domain of a function?

Back

The set of all x-values for which the function is defined.

Front

What is the Range of a function?

Back

The set of all y-values that a function can output.

Front

Given the function f(x) = 2x + 3, what is the domain?

Back

All real numbers.

Front

Given the function f(x) = -x^2 + 4, what is the range?

Back

[0, 4] (y-values from 0 to 4 inclusive).

Front

What does it mean if a function is defined for all real numbers?

Back

It means the domain includes every possible x-value.

Front

If the domain of a function is {1, 2, 3}, what can you say about its range?

Back

The range will depend on the outputs of the function for those x-values.

Front

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

Back

All real numbers except x = 0.

Front

How do you find the range of a linear function?

Back

The range is all real numbers unless restricted by the domain.

Front

What is the domain of the function f(x) = sqrt(x)?

Back

x must be greater than or equal to 0 (x ≥ 0).

Front

If a function has a domain of {0, 1, 2, 3}, what is the maximum number of outputs it can have?

Back

It can have up to 4 outputs, one for each input.