domain range and functions

Front

What is the DOMAIN of a function?

Back

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

Front

What is the RANGE of a function?

Back

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

Front

How do you determine the domain of a graph?

Back

Identify the x-values for which the graph exists; look for any restrictions such as vertical asymptotes or holes.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

How do you determine the range of a graph?

Back

Identify the y-values that the graph reaches; look for horizontal asymptotes or gaps in the graph.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

What does it mean if a function has 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 does it mean if a function has a restricted domain, such as '-4 ≤ x < 5'?

Back

It means that the function is only defined for x-values between -4 and 5, including -4 but not 5.

Tags

CCSS.HSF-BF.B.4D

Front

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

Back

The function f(x) = x^2 has a range of y ≥ 0, as it only produces non-negative outputs.

Front

What is the significance of vertical lines in determining the domain?

Back

Vertical lines can indicate restrictions in the domain, such as points where the function is undefined.

Tags

CCSS.HSF.IF.B.5

CCSS.8.F.A.1

Front

What is the significance of horizontal lines in determining the range?

Back

Horizontal lines can indicate the maximum or minimum values that the function can reach.

Front

What is a common mistake when identifying the domain of a function?

Back

Assuming the domain includes all real numbers without checking for restrictions.