Domain and Range of Functions

Front

What is the domain of a function?

Back

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

Front

Identify the domain of the function: f(x) = 1/(x-2)

Back

The domain is all real numbers except x = 2.

Front

Identify the range of the function: f(x) = x^2

Back

The range is all real numbers y such that y ≥ 0.

Front

What does it mean if a function has a domain of all real numbers?

Back

It means that the function can accept any real number as an input.

Front

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

Back

Look for the x-values that the graph covers; any x-value not represented in the graph is not in the domain.

Front

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

Back

The domain is all real numbers x such that x ≥ 0.

Front

What is the range of the function f(x) = 3x - 5?

Back

The range is all real numbers, as a linear function can produce any y-value.

Front

Identify the domain of the function: f(x) = log(x)

Back

The domain is all real numbers x such that x > 0.

Front

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

Back

The range is all real numbers y such that -1 ≤ y ≤ 1.