A1 Q2 Functions & Evaluating Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output (y-value) for each input (x-value).

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) for a function.

Front

How do you evaluate a function?

Back

To evaluate a function, substitute the input value into the function's equation and simplify.

Front

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

Back

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

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, which may or may not be a function.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has one unique output.

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, where for each x, there is one corresponding y.

Front

What is an example of a non-function?

Back

An example of a non-function is the relation {(1,2), (1,3)}, where the input 1 has two outputs.

Front

How can you determine if a table represents a function?

Back

A table represents a function if no x-value is repeated with different y-values.