Identify function, Domain Range and evaluate

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. In other words, for every x-value, there is one and only one corresponding y-value.

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

How do you determine if a relation is a function?

Back

A relation is a function if no two ordered pairs have the same first element (x-value) with different second elements (y-values).

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 greater than or equal to 0, since a square of a real number cannot be negative.

Front

Given the points (-7, 3), (-1, 6), and (8, -3), what is the range?

Back

The range is {-3, 3, 6}.

Front

What does the graph of a function represent?

Back

The graph of a function visually represents the relationship between the input (x-values) and output (y-values) of the function.

Front

What is an example of a function?

Back

f(x) = 2x + 3 is a function because for every x-value, there is one corresponding 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 x-value 1 corresponds to two different y-values.