Domain and Range - Continuous and Discrete

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 domain is 'x > -3'?

Back

It means that the function is defined for all values of x that are greater than -3.

Front

What does it mean if a range is '-3 ≤ y < 1'?

Back

It means that the output values (y) can include -3 but not 1, covering all values in between.

Front

What is a discrete domain?

Back

A domain that consists of distinct, separate values, such as integers or specific points.

Front

What is a continuous domain?

Back

A domain that includes all values within a certain interval, without any gaps.

Front

How do you represent a closed interval?

Back

Using square brackets, e.g., [a, b] means a ≤ x ≤ b.

Front

How do you represent an open interval?

Back

Using parentheses, e.g., (a, b) means a < x < b.

Front

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

Back

All real numbers except x = 0, since division by zero is undefined.

Front

What is the range of the function f(x) = x^2?

Back

All real numbers y such that y ≥ 0, since squares are always non-negative.