Domain and Range

Front

What is the definition of Domain in a function?

Back

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

Front

What is the definition of Range in a function?

Back

The set of all possible output values (y-values) that a function can produce.

Front

What is the Domain of the function f(x) = 2x + 3?

Back

All real numbers, since there are no restrictions on x.

Front

What is the Range of the function f(x) = 2x + 3?

Back

All real numbers, since as x varies, f(x) can take any real value.

Front

What does it mean if a function has a restricted Domain?

Back

It means that there are certain values of x that cannot be used as inputs for the function.

Front

How do you find the Domain of a function given a graph?

Back

Identify the x-values for which the graph exists; these values make up the Domain.

Front

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

Back

All real numbers except x = 2, since the function is undefined at that point.

Front

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

Back

All real numbers greater than or equal to 0, since the output of x^2 cannot be negative.

Front

What is the significance of the origin in a coordinate plane?

Back

The origin is the point (0,0) where the x-axis and y-axis intersect.

Front

What is the Domain of a function that models the height of a plant over time, if it only grows for 6 months?

Back

0 ≤ months ≤ 6.