Domain and Range of Continuous and Discrete 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

How do you represent the domain of a function that is defined for all real numbers?

Back

Front

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

Back

Front

What is the difference between discrete and continuous functions?

Back

Discrete functions have distinct, separate values (like points), while continuous functions have values that form a continuous line or curve.

Front

How do you find the range of a discrete function?

Back

List all the output values (y-values) that the function can take.

Front

What is the domain of the set {1, 3, 4, 6}?

Back

The domain is the set itself: {1, 3, 4, 6}.

Front

What is the range of the function f(x) = x^2 for x in [0, 3]?

Back

The range is [0, 9] because the minimum value is 0 (when x=0) and the maximum is 9 (when x=3).

Front

How do you express the domain of a function that is defined for x > -3?

Back

Front

Back

It means the function can produce all output values less than 1.