Domain and Range - Multiple Representations - 22?s

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 determine the domain of a function from a graph?

Back

Identify the x-values for which the graph exists; any x-value that has a corresponding y-value is included in the domain.

Front

How do you determine the range of a function from a graph?

Back

Identify the y-values that the graph reaches; any y-value that corresponds to an x-value in the domain is included in the range.

Front

What is the vertical line test?

Back

A method to determine if a graph represents a function; if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is an example of a function?

Back

f(x) = x^2 is a function because for every x-value, there is exactly one y-value.

Front

What is an example of a relation that is not a function?

Back

The relation {(1, 2), (1, 3)} is not a function because the input 1 corresponds to two different outputs.

Front

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

Back

The domain is 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

The range is all real numbers y such that y ≥ 0, since the output of x^2 is always non-negative.

Front

How do you find the domain of a set of points?

Back

List all the unique x-values from the set of points.