3.2 Practice

Front

What is a linear function?

Back

A linear function is a function that can be represented by a straight line on a graph and can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not form a straight line when graphed and cannot be expressed in the form y = mx + b.

Front

How can you identify a discrete domain in a graph?

Back

A graph with a discrete domain consists of individual points, indicating that the values are distinct and separate.

Front

How can you identify a continuous domain in a graph?

Back

A graph with a continuous domain shows a line or curve, indicating that the values can take on any number within a range.

Front

In the equation y = mx + b, what do m and b represent?

Back

In the equation y = mx + b, m represents the slope of the line, and b represents the y-intercept, the point where the line crosses the y-axis.

Front

What does the slope of a line indicate?

Back

The slope of a line indicates the steepness and direction of the line; a positive slope rises from left to right, while a negative slope falls from left to right.

Front

What is the y-intercept of a linear function?

Back

The y-intercept of a linear function is the value of y when x is 0, representing the point where the line crosses the y-axis.

Front

How do you determine if an equation is linear?

Back

An equation is linear if it can be rearranged into the form y = mx + b, where m and b are constants.

Front

What is the significance of a straight line in a graph?

Back

A straight line in a graph indicates a linear relationship between the variables, meaning that changes in one variable result in proportional changes in the other.

Front

What does it mean if a graph is not a straight line?

Back

If a graph is not a straight line, it indicates a nonlinear relationship, meaning the change in one variable does not result in a constant change in the other.