Function/Not a Function & Linear/Nonlinear

Front

What is a function?

Back

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

Front

What is the definition of a non-function?

Back

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

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

What is a linear function?

Back

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not form a straight line when graphed. Examples include quadratic functions, exponential functions, and trigonometric functions.

Front

Give an example of a linear equation.

Back

Front

Give an example of a nonlinear equation.

Back

Front

What does it mean for y to be a function of x?

Back

It means that for every value of x, there is exactly one corresponding value of y.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to represent a point in a coordinate system, typically written as (x, y).

Front

What is the difference between a relation and a function?

Back

A relation is a set of ordered pairs, while a function is a specific type of relation where each input (x) is associated with exactly one output (y).