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 a 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.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

Identify the domain of the function f(x) = x^2.

Back

Domain: All real numbers.

Front

Identify the range of the function f(x) = x^2.

Back

Range: y ≥ 0.

Front

What does it mean for a function to have a domain of all real numbers?

Back

It means that the function can accept any real number as an input.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

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

Back

Range: All real numbers.

Front

If a function has a domain of [-3, 5], what does this mean?

Back

The function is defined for all x-values from -3 to 5, inclusive.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is the range of the function f(x) = -2x + 4?

Back

Range: All real numbers.

Front

How do you determine the domain of a function from its graph?

Back

Look for the x-values where the graph exists; any x-value not represented is excluded from the domain.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

How do you determine the range of a function from its graph?

Back

Look for the y-values that the graph reaches; any y-value not represented is excluded from the range.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5