Understanding functions

Front

What is a function?

Back

A function is a relationship 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

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

Back

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

Front

Given the ordered pairs (52,3), (72,4), (86,5), (105,6), what is the domain?

Back

{52, 72, 86, 105}

Front

How do you determine the output of a function?

Back

To determine the output, substitute the input value into the function's rule or equation.

Front

What is a function table?

Back

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

Front

What is the rule of a function?

Back

The rule of a function describes the relationship between the input and output values, often expressed as an equation.

Front

If a function's rule is +14, what is the output for an input of 10?

Back

The output is 24 (10 + 14).

Front

What is an example of a function in real life?

Back

An example of a function in real life is the relationship between the temperature in Celsius and Fahrenheit.