Domain and Range

Front

What is the definition of the domain of a function?

Back

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

Front

What is the definition of the range of a function?

Back

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

Front

How do you determine the domain of a linear function?

Back

The domain of a linear function is typically all real numbers unless restricted by specific conditions or context.

Front

What is the range of a linear function with a slope of 0?

Back

The range is a single value, which is the y-coordinate of the horizontal line.

Front

What does it mean if a function has a restricted domain?

Back

A restricted domain means that not all real numbers are valid inputs for the function, often due to specific conditions or constraints.

Front

How can you find the range from a table of values?

Back

To find the range from a table of values, list all the output values (y-values) and identify the smallest and largest values.

Front

What is the significance of the notation -3 < x ≤ 5 in describing a domain?

Back

This notation indicates that x can take any value greater than -3 and up to and including 5.

Front

What does the notation 1 ≤ y ≤ 5 indicate about the range?

Back

This notation indicates that y can take any value from 1 to 5, including both endpoints.

Front

How do you identify discrete values in a domain?

Back

Discrete values in a domain are specific, separate values, often represented as a list or set, such as {-6, 0, 2, 3, 4}.

Front

What is the difference between continuous and discrete functions?

Back

Continuous functions have an unbroken range of values, while discrete functions consist of distinct, separate values.