Domain & Range

Front

What is the definition of Domain in a function?

Back

The set of all possible input values (x-values) for a function.

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

If a function has a Domain of {-3, -2, -1, 0, 1, 2, 3}, what does this mean?

Back

The function can only take these specific x-values as inputs.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is the Range of the function A = 0.12p if p can be 3, 4, 6, or 9?

Back

{0.36, 0.48, 0.72, 1.08}

Front

How do you determine the Range of a function graphically?

Back

By identifying the lowest and highest y-values on the graph.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

What does it mean if the Range of a function is y ≥ 3?

Back

The output values of the function start from 3 and go to infinity.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

What is the Range of the function f(x) = x^2 for x in [-3, 3]?

Back

[0, 9] because the minimum value is 0 and the maximum is 9.

Front

If a function has a Range of All real numbers, what does this imply?

Back

The function can produce any real number as an output.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is the significance of the Range in real-world applications?

Back

It helps to understand the limits of possible outcomes in a given situation.

Front

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

Back

All real numbers except x = 0.