Domain & Range

Front

What is the definition of DOMAIN in a function?

Back

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

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is the definition of RANGE in a function?

Back

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

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

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

Back

It means that the function is defined only for the input values 0, 1, 2, and 3.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

If a function has a RANGE of {4, 5, 6}, what does this indicate?

Back

It indicates that the outputs of the function can only be 4, 5, or 6.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

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

Back

The DOMAIN is all real numbers except x = 0, since division by zero is undefined.

Front

What is the RANGE of the function f(x) = x^2?

Back

The RANGE is all real numbers y such that y >= 0, since squares of real numbers are non-negative.

Front

How do you find the RANGE of a function from a graph?

Back

To find the RANGE from a graph, identify the lowest and highest y-values that the graph reaches.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

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

Back

The DOMAIN is all real numbers x such that x >= 0, since you cannot take the square root of a negative number.

Front

What does it mean if a function has a RANGE of y < 3?

Back

It means that the outputs of the function are all values less than 3.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

If a function has a DOMAIN of all real numbers, what does this imply?

Back

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

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1