COMPARE FUNCTIONS

Front

What is the slope of a linear function?

Back

The slope of a linear function represents the rate of change of the function. It is calculated as the change in y divided by the change in x.

Front

How do you determine if a function is linear?

Back

A function is linear if it can be represented by a straight line on a graph, meaning it has a constant slope.

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not have a constant rate of change and cannot be represented by a straight line.

Front

What does the equation y = mx + b represent?

Back

This is the slope-intercept form of a linear equation, where m is the slope and b is the y-intercept.

Front

How can you tell if a table of values represents a linear function?

Back

If the differences between consecutive y-values divided by the differences between consecutive x-values are constant, the table represents a linear function.

Front

What is the significance of the y-intercept in a linear function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis, indicating the value of y when x is 0.

Front

What does it mean for a function to have a constant slope?

Back

A constant slope means that the rate of change of the function is the same for all intervals of x.

Front

What is the difference between a linear and a nonlinear graph?

Back

A linear graph is a straight line, while a nonlinear graph can be curved or have varying slopes.

Front

How do you find the slope from a graph?

Back

The slope can be found by selecting two points on the line, calculating the rise (change in y) and run (change in x), and dividing rise by run.

Front

What is an example of a nonlinear equation?

Back

An example of a nonlinear equation is y = x^2, which represents a parabola.