Functions & Linear Review

Front

What is a linear function?

Back

A linear function is a function that creates a straight line when graphed. It has a constant rate of change.

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not create a straight line when graphed. It may have curves or bends.

Front

How can you tell if a table represents a function?

Back

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

Front

What does it mean for a function to have a constant rate of change?

Back

A constant rate of change means that for every unit increase in x, the y-value increases by a fixed amount.

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input.

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 crosses the graph more than once, it is not a function.

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, often represented as 'm' in the equation y = mx + b.

Front

What is the y-intercept of a linear function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

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

Back

A function is one-to-one if each output is associated with exactly one input, meaning no two different inputs produce the same output.

Front

What is an example of a linear function?

Back

An example of a linear function is f(x) = 2x + 3.