G8 Module 5: Functions(1)

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 Vertical Line Test?

Back

The Vertical Line Test is a method used to determine if a curve is a function. If any vertical line intersects the curve at more than one point, then the curve is not a function.

Front

What is a relation?

Back

A relation is a set of ordered pairs, where each pair consists of an input and an output.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input is associated with exactly one output, while a relation can have multiple outputs for a single input.

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if it never assigns the same value to two different domain elements.

Front

What is a domain in a function?

Back

The domain of a function is the complete set of possible values of the independent variable (input).

Front

What is a range in a function?

Back

The range of a function is the complete set of possible values of the dependent variable (output).

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, where for every input x, there is exactly one output.

Front

What is a non-function?

Back

A non-function is a relation where at least one input is associated with more than one output.

Front

What is the output of the function f(x) = x^2 for x = -3?

Back

The output is 9, since f(-3) = (-3)^2 = 9.