Domain and Range

Front

What is the definition of Domain in mathematics?

Back

The set of all possible input values (x-values) for a function.

Front

What is the definition of Range in mathematics?

Back

The set of all possible output values (y-values) for a function.

Front

How is the Domain represented in interval notation?

Back

Using brackets and parentheses to indicate the start and end of the interval, e.g., [a, b) or (a, b].

Front

How is the Range represented in interval notation?

Back

Using brackets and parentheses to indicate the start and end of the interval, e.g., [c, d) or (c, d].

Front

What does the notation -3 < x ≤ 3 mean?

Back

x is greater than -3 and less than or equal to 3.

Front

What does the notation -7 ≤ x < 5 mean?

Back

x is greater than or equal to -7 and less than 5.

Front

What is the significance of using inequality notation for Domain and Range?

Back

It provides a precise way to express the limits of input and output values.

Front

What is the Domain of a function that includes all real numbers?

Back

The Domain is represented as (-∞, ∞).

Front

What is the Range of a function that is limited to -5 < y < -2?

Back

The Range is the set of y-values between -5 and -2, not including -5 and -2.

Front

How do you determine the Domain from a graph?

Back

Identify the x-values that the graph covers.