Graphing Concepts and Techniques

This video tutorial explains how to construct a graph from data by following specific criteria. It covers labeling the horizontal and vertical axes with the input and output variables, respectively, and using an appropriate scale. The tutorial also demonstrates plotting points accurately and making use of available space. An example is provided to illustrate the process, using data on a car's stopping distance at various speeds.

What is the first step in constructing a graph from data?

• Identifying the variables

• Choosing the scale

• Labeling the axes

• Plotting the points

What should be done if the scale does not begin at zero?

• Use a different graph type

• Use slash marks between the origin and the first tick mark

• Start the scale at a random number

• Ignore the scale

Which axis is used for the input variable?

• Vertical axis

• Diagonal axis

• Horizontal axis

• None of the above

What is the input variable in the example provided?

• Stopping distance

• Speed

• Time

• Acceleration

What is the output variable in the example provided?

• Acceleration

• Stopping distance

• Time

• Speed

How should the horizontal axis be labeled?

• With the output variable and its units

• With the input variable and its units

• With the title of the graph

• With random numbers

What is the purpose of scaling the axes?

• To fit all data points within the graph

• To make the graph look bigger

• To confuse the viewer

• To make the graph colorful

What is the highest value for the speed in the example?

• 50 mph

• 100 mph

• 60 mph

• 80 mph

How are the points plotted on the graph?

• Randomly

• By guessing

• By drawing lines

• Using ordered pairs

What is the last step in constructing the graph?

• Plotting the points

• Choosing the scale

• Labeling the axes

• Drawing the title