Domain and Range of Functions

Front

What is the definition of the domain of a function?

Back

The domain of a function is the complete set of possible values of the independent variable (input) for which the function is defined.

Front

What is the definition of the range of a function?

Back

The range of a function is the complete set of possible values of the dependent variable (output) that results from using the function.

Front

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

Back

The domain can be determined by identifying all the x-values that the graph covers.

Front

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

Back

The range can be determined by identifying all the y-values that the graph covers.

Front

What is the vertical line test?

Back

The vertical line test is 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

Given the ordered pairs (2, 11), (9, -3), (7, 21), (-8, 6), what is the range?

Back

{11, -3, 21, 6}

Front

What does it mean for a relation to be a function?

Back

A relation is a function if each input (x-value) is associated with exactly one output (y-value).

Front

Does the table below represent a function? x | y 1 | 2 1 | 3 2 | 4 Answer:

Back

No!

Front

What is the range of the relation represented by the table: x | y -4 | 1 -3 | 2 -2 | 3 -1 | 4?

Back

{1, 2, 3, 4}

Front

What are the ordered pairs for the relation defined by the function f(x) = x + 2 for x = 1, 2, 3?

Back

(1, 3), (2, 4), (3, 5)