Domain and Range Practice

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 from a graph?

Back

Identify the x-values that the graph covers; these values represent the domain.

Front

How do you determine the range from a graph?

Back

Identify the y-values that the graph covers; these values represent the range.

Front

What does the notation -5 < x < 4 mean?

Back

It means that x can take any value greater than -5 and less than 4.

Front

What does the notation 2 ≤ y ≤ 6 mean?

Back

It means that y can take any value from 2 to 6, including both endpoints.

Front

True or False: The domain can include negative numbers.

Back

True, the domain can include any real numbers, including negative numbers.

Front

True or False: The range can only include positive numbers.

Back

False, the range can include any real numbers, including negative numbers.

Front

What is an example of a function with a domain of -3 < x ≤ 6?

Back

f(x) = x^2, where x is restricted to the given domain.

Front

What is an example of a function with a range of -9 < y < 5?

Back

f(x) = sin(x), where the output is restricted to the given range.