Linear and Non-Linear Functions

This video tutorial explains how to identify linear functions by analyzing tables and graphs. It covers the characteristics of linear functions, such as having a constant rate of change, and provides examples using different scenarios like binders and notebooks, negative slopes, and museum visit costs. The tutorial also contrasts linear functions with non-linear ones using the area of a square as an example.

What characteristic do graphs of linear functions always have?

• They pass through the y-axis.

• They have a variable rate of change.

• They are curved lines.

• They have a constant rate of change.

In the binders and notebooks example, what does the function b = n represent?

• The number of books and pens.

• The number of binders and pens.

• The number of binders and notebooks.

• The number of books and notebooks.

What is the rate of change in the binders and notebooks example?

• 2

• 1

• 3

• 0

In the function y = -3/2x, what does the negative sign indicate?

• The function is non-linear.

• The function is constant.

• The slope is positive.

• The slope is negative.

How does the graph of y = -3/2x appear?

• A line with a negative slope.

• A line with a positive slope.

• A vertical line.

• A horizontal line.

What does the function c = 8.25v represent in the museum example?

• The number of exhibits in the museum.

• The number of visitors to the museum.

• The total cost of visiting a museum.

• The total revenue of the museum.

What is the constant rate of change in the museum cost function?

• 8.25

• 1

• 0

• 16.50

In the area of a square example, what does the function a = s^2 indicate?

• A non-linear relationship.

• A linear relationship.

• A decreasing relationship.

• A constant relationship.

How does the rate of change behave in the area of a square example?

• It decreases.

• It remains constant.

• It fluctuates.

• It increases.

What conclusion can be drawn from the area of a square example?

• The function is linear.

• The function is non-linear.

• The function is constant.

• The function is undefined.