06.03 Domain and Range of Graphs

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

What does it mean if a function has a domain of -6 ≤ x ≤ 6?

Back

The function is defined for all x-values between -6 and 6, inclusive.

Front

If a function has a domain of x ≥ -5, what does this indicate?

Back

The function is defined for all x-values greater than or equal to -5.

Front

What is the significance of the range y ≤ 5?

Back

The function outputs values that are less than or equal to 5.

Front

How do you determine the domain of a linear function?

Back

Identify the x-values for which the function is defined, often based on the context of the problem.

Front

What does the notation -∞ < x < ∞ represent?

Back

It indicates that the domain includes all real numbers.

Front

What is a proper domain in the context of functions?

Back

A proper domain is the set of x-values that make the function valid, often excluding values that cause division by zero or square roots of negative numbers.

Front

What is the domain of the function f(x) = 1/(x-2)?

Back

The domain is all real numbers except x = 2, where the function is undefined.

Front

If a function has a range of y ≥ -5, what does this mean?

Back

The function outputs values that are greater than or equal to -5.