Understanding functions

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) that the function can accept.

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

In an ordered pair (x, y), which variable represents the first number?

Back

The variable x represents the first number in an ordered pair.

Front

In an ordered pair (x, y), which variable represents the second number?

Back

The variable y represents the second number in an ordered pair.

Front

What is an example of a function represented by ordered pairs?

Back

An example of a function is the set of ordered pairs (1, 2), (2, 3), (3, 4), where each input has a unique output.

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).

Front

What does h(t) = -5 mean in a function?

Back

It means that when the input t is such that the output of the function h is -5.

Front

What is the output of the function if the input is 40 and 35?

Back

The output is 8 and 7.

Front

What is a function table?

Back

A function table is a table that displays pairs of input and output values for a function.