Graphing Equations by Plotting Points

This video tutorial explains how to graph equations by plotting points, using the example of y=2^x. It covers calculating outputs for both positive and negative x values, identifying patterns in the table, and plotting these points on a Cartesian plane. The tutorial also demonstrates how to verify the graph using a graphing calculator, ensuring accuracy by comparing calculated values with those generated by the calculator.

What is the first step in graphing the equation y = 2^x?

• Identify the slope

• Draw the Cartesian plane

• Substitute x values into the equation

• Find the y-intercept

When x = 2, what is the corresponding y value for the equation y = 2^x?

• 2

• 8

• 4

• 6

What pattern is observed in the y values as x increases by 1?

• Divide by 2

• Subtract 1

• Multiply by 2

• Add 1

What is the y value when x = 0 in the equation y = 2^x?

• 0

• 1

• 2

• 4

How is the output calculated for negative x values in the equation y = 2^x?

• Subtract 2

• Divide by 2

• Add 2

• Multiply by 2

What is the ordered pair for x = -1 in the equation y = 2^x?

• (-1, 1)

• (-1, 1/2)

• (-1, 0)

• (-1, 2)

What is a horizontal asymptote in the context of this graph?

• A diagonal line

• A vertical line

• A line the graph approaches but never touches

• A line the graph crosses

How should the horizontal axis be scaled for this graph?

• By 1 unit

• By 0.5 units

• By 3 units

• By 2 units

What is the maximum y value that needs to be plotted on the graph?

• 12

• 8

• 16

• 20

How can you verify the accuracy of your graph?

• By using a graphing calculator

• By checking the slope

• By comparing with a textbook

• By asking a friend