Graphing Functions and Rate of Change

The video tutorial explains how to graph a function using the rate of change and vertical intercept. It begins by defining the rate of change as the change in the dependent variable over the change in the independent variable. The tutorial then demonstrates how to plot the vertical intercept on the graph and use the rate of change to determine the movement needed to plot additional points. Finally, it shows how to extend the graph by connecting the points and drawing the line.

What is the primary focus of the video tutorial?

• Learning about trigonometric identities

• Understanding polynomial functions

• Solving quadratic equations

• Graphing a function using its rate of change and vertical intercept

What is the rate of change of the given function?

• -3/2

• 2/3

• -2/3

• 3/2

What is the vertical intercept of the function?

• 4

• 3

• 5

• 2

How is the rate of change defined in terms of variables?

• Difference between X and Y

• Sum of X and Y

• Change in Y over change in X

• Change in X over change in Y

What does the negative sign in the rate of change indicate?

• The graph is horizontal

• The graph is vertical

• The graph moves downwards

• The graph moves upwards

What does the number 3 in the rate of change represent?

• Change in Y

• Change in X

• Vertical intercept

• Horizontal intercept

Where is the initial point plotted on the graph?

• At the horizontal intercept

• At the origin

• At the midpoint of the axes

• At the vertical intercept

What is the significance of the vertical intercept in graphing?

• It is the midpoint of the graph

• It changes the rate of change

• It is the starting point on the vertical axis

• It determines the slope

How do you move from the vertical intercept using the rate of change?

• Up 2 units, left 3 units

• Down 2 units, right 3 units

• Right 2 units, up 3 units

• Left 2 units, down 3 units

What is the next step after plotting the initial point?

• Change the rate of change

• Draw a circle

• Plot additional points using the rate of change

• Erase the initial point