Graphing Functions and Analyzing Outputs

This video tutorial teaches how to graph equations by plotting points. It begins with an introduction to the concept, followed by a detailed explanation of input and output values. The tutorial then demonstrates how to calculate ordered pairs and plot them on a coordinate plane. Finally, it shows how to verify the results using a graphing calculator.

What is the equation used in this lesson to graph by plotting points?

• y = 2x + 1

• y = x - 2

• y = 1/2x - 2

• y = 1/3x + 2

Why are the input values chosen as multiples of two?

• To make calculations easier

• To match the output values

• To ensure the product is an integer

• To simplify the graph

What is the ordered pair when the input is -6?

• (-6, -5)

• (-6, -4)

• (-6, -3)

• (-6, -2)

What is the output when the input is 0?

• 1

• 0

• -2

• -1

Which ordered pair corresponds to an input of 4?

• (4, -2)

• (4, 1)

• (4, 0)

• (4, -1)

What is the significance of the point (0, -2) on the graph?

• It is a random point

• It is the origin

• It is the y-intercept

• It is the x-intercept

What does it mean if a point lies on the horizontal axis?

• The point is not on the graph

• The point is at the origin

• The output is zero

• The input is zero

How can you verify the plotted points using a graphing calculator?

• By entering the equation and checking the table

• By drawing the graph manually

• By using a ruler

• By estimating the points

What should you adjust on the graphing calculator to match the hand-drawn graph?

• The window or scale settings

• The brightness

• The font size

• The color settings

What is the purpose of sketching the graph of the equation?

• To find the x-intercept

• To visualize the relationship between x and y

• To determine the slope

• To calculate the area under the curve