Functions Test Review

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

How can you determine if a graph is a function?

Back

A graph is a function if any vertical line drawn through the graph intersects it at most once (Vertical Line Test).

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not create a straight line when graphed; it can be represented by curves.

Front

What is the difference between linear and nonlinear functions?

Back

Linear functions have a constant rate of change and graph as straight lines, while nonlinear functions have varying rates of change and graph as curves.

Front

What does it mean for a set of values to be a function?

Back

A set of values is a function if each input (x-value) corresponds to exactly one output (y-value).

Front

What is the slope of a linear function?

Back

The slope of a linear function is the ratio of the change in y to the change in x, representing the steepness of the line.

Front

What is a mapping in mathematics?

Back

A mapping is a way to describe how each element of one set (domain) is paired with an element of another set (range).

Front

What is the significance of the origin in graphing functions?

Back

The origin (0,0) is the point where the x-axis and y-axis intersect; it is often used as a reference point in graphing.

Front

What is a vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function; if a vertical line crosses the graph more than once, it is not a function.

Front

What is a linear relationship?

Back

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph.