Graphing Functions and Analyzing Outputs

This video tutorial covers graphing functions by plotting points. It begins with an introduction to the function s(T) = 4 - 2T, explaining how to select inputs and calculate corresponding outputs. The tutorial demonstrates plotting these points on a Cartesian plane, identifying key intercepts, and verifying the graph using a graphing calculator. The video emphasizes understanding linear functions and their graphical representation.

What is the function rule for s(T) in this lesson?

• s(T) = 2T + 4

• s(T) = 4 - 2T

• s(T) = 2T - 4

• s(T) = 4 + 2T

If the input T is -2, what is the output s(T)?

• 0

• 8

• 6

• 4

Which ordered pair corresponds to the input T = 0?

• (0, 0)

• (0, 2)

• (0, 6)

• (0, 4)

What is the ordered pair for the input T = 1?

• (1, 6)

• (1, 4)

• (1, 2)

• (1, 0)

How do you label the horizontal axis when plotting s(T)?

• Y

• s(T)

• T

• X

What is the vertical intercept of the graph?

• (0, 6)

• (0, 2)

• (0, 0)

• (0, 4)

Where does the graph intersect the horizontal axis?

• (0, 2)

• (0, 4)

• (4, 0)

• (2, 0)

What is the nature of the function s(T) based on its graph?

• Quadratic

• Cubic

• Linear

• Exponential

What is the purpose of using a graphing calculator in this lesson?

• To verify the plotted graph

• To find the area under the curve

• To calculate derivatives

• To draw a 3D graph

What should you do if the graph on the calculator appears distorted?

• Adjust the window settings

• Change the function

• Recalculate the outputs

• Ignore the distortion