12/11 Practice

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 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 the input (x), the output (y) increases by a fixed amount.

Front

How can you identify a linear function from its graph?

Back

A linear function will graph as a straight line, while a nonlinear function will graph as a curve.

Front

What is the y-intercept of a function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis, represented as (0, y).

Front

What is the slope of a linear function?

Back

The slope of a linear function is the ratio of the rise (change in y) to the run (change in x), indicating the steepness of the line.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

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 do not have a constant rate of change and graph as curves.

Front

Can a linear function have a negative slope?

Back

Yes, a linear function can have a negative slope, which means the line descends from left to right.

Front

What does it mean if a function is described as nonlinear?

Back

A nonlinear function does not have a constant rate of change and can represent relationships that are not proportional.

Front

What is an example of a linear function?

Back

An example of a linear function is f(x) = 2x + 3, which has a slope of 2 and a y-intercept of 3.