Graphing Piecewise Functions with Desmos

This lesson demonstrates how to use Desmos to graph a piecewise defined function. It covers entering function rules for different intervals, plotting open and closed points, and verifying these points on the graph. The tutorial also highlights the use of projector mode for better visibility during presentations.

What is the first step in graphing a piecewise function on Desmos?

• Use a different website

• Open the graphing calculator

• Enter the function directly

• Plot random points

Which symbol is used to define intervals in Desmos?

• Curly brackets

• Angle brackets

• Parentheses

• Square brackets

What is the function rule for x less than 3?

• 1/2x + 3/2

• x + 1

• -2/3x + 1

• 3x - 2

For the interval x ≥ 3, what is the function rule?

• 3x + 1

• 1/2x + 3/2

• x - 3

• -2/3x + 1

How do you determine if a point is open or closed at an endpoint?

• By the inequality used

• By the size of the point

• By the slope of the line

• By the color of the graph

What type of point is at (3, -1) for the first piece of the function?

• Closed point

• Open point

• Double point

• No point

What is the significance of the point (3, 3) in the graph?

• It is a midpoint

• It is not part of the graph

• It is a closed point

• It is an open point

What feature can be used to make the graph more visible during a presentation?

• Zoom in

• Projector mode

• Change background color

• Increase font size

What happens when you drag the graph towards the endpoint?

• The graph zooms out

• You can verify open or closed points

• The point changes color

• The graph disappears

What is the purpose of using Desmos for graphing piecewise functions?

• To draw shapes

• To solve equations

• To visualize and verify piecewise functions

• To create random graphs