Function Notation

Front

What is function notation?

Back

Function notation is a way to represent a function using symbols, typically written as f(x), where 'f' is the name of the function and 'x' is the input variable.

Front

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

Back

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

Front

How do you evaluate a function at a specific value?

Back

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

Front

What is the output of f(x) = 2x + 3 when x = 4?

Back

f(4) = 2(4) + 3 = 8 + 3 = 11.

Front

What is the domain of a function?

Back

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

Front

What is a mapping diagram?

Back

A mapping diagram visually represents a function by showing how each input is paired with an output.

Front

What is the difference between a function and a non-function?

Back

A function has unique outputs for each input, while a non-function may have multiple outputs for the same input.

Front

If f(x) = 3x - 2, what is f(0)?

Back

f(0) = 3(0) - 2 = -2.

Front

What is an ordered pair in the context of functions?

Back

An ordered pair is a pair of numbers (x, y) that represents an input-output relationship in a function.