5-1 CFU

Front

What is the range of a mapping?

Back

The range of a mapping is the set of all output values (y-values) that result from applying the function to its domain (x-values).

Front

What is a function?

Back

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

Front

Identify the domain of the relation given the ordered pairs (11, 60), (12, 63), (12, 66), (13, 64), and (14, 67).

Back

The domain is the set of all unique input values (x-values), which is {11, 12, 13, 14}.

Front

Which of the following ordered pairs is not a function? (1, 2), (2, 3), (3, 4) or (1, 2), (1, 3), (2, 4)

Back

(1, 2), (1, 3), (2, 4) is not a function because the input 1 is associated with two different outputs (2 and 3).

Front

What is the definition of a relation in mathematics?

Back

A relation is a set of ordered pairs, where each pair consists of an input (x-value) and an output (y-value).

Front

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

Back

A relation is a function if every input is paired with exactly one output.

Front

How do you determine if a set of ordered pairs represents a function?

Back

Check if any x-value is repeated with different y-values. If it is, then it is not a function.

Front

What is the difference between domain and range?

Back

The domain is the set of all possible input values (x-values), while the range is the set of all possible output values (y-values).

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, where each x-value has a unique corresponding y-value.

Front

What is a 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.