Domain and Range

Front

What is the domain of a function?

Back

The domain of a function is the complete set of possible values of the independent variable (x) that will not cause any undefined behavior in the function.

Front

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

Back

The domain is all real numbers except x = 2.

Front

What is the range of a function?

Back

The range of a function is the complete set of possible values of the dependent variable (y) that the function can output.

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 for a set of points to represent a function?

Back

A set of points represents a function if each input (x-value) is associated with exactly one output (y-value).

Front

Determine if the following set of points represents a function: {(1, 2), (1, 3), (2, 4)}.

Back

No, it does not represent a function because the input 1 is associated with two different outputs (2 and 3).

Front

What is an example of a function with a limited domain?

Back

f(x) = √x has a domain of x ≥ 0.

Front

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

Back

The domain can be found by identifying the x-values for which the graph exists.

Front

What is the domain of the function f(x) = 3x + 5?

Back

The domain is all real numbers.

Front

What is the significance of the range in a function?

Back

The range indicates the possible output values of the function, which helps in understanding the behavior of the function.