Domain/ Range/Function Review

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

How do you determine the Domain of a linear function?

Back

Identify the x-values that the function can take, often represented as an interval.

Front

What does it mean if a function has no Domain?

Back

It means there are no x-values for which the function is defined.

Front

What is the value of f(3) if f(x) = 2x + 1?

Back

f(3) = 2(3) + 1 = 7.

Front

What is the value of g(5) if g(x) = x^2 - 5?

Back

g(5) = 5^2 - 5 = 20.

Front

If the Domain is {0, 1, 2, 3}, what are the possible x-values?

Back

The possible x-values are 0, 1, 2, and 3.

Front

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

Back

The Range is all real numbers since x can take any value.

Front

What is an example of a function with a limited Domain?

Back

f(x) = 1/x has a Domain of all real numbers except x = 0.

Front

What is the relationship between Domain and Range?

Back

The Domain consists of input values (x-values), while the Range consists of output values (y-values).