Graphing Piecewise Functions with Desmos

This lesson demonstrates how to use Desmos to graph a piecewise defined function. It covers the function rules for different intervals and explains how to input these into Desmos using curly brackets. The video also guides viewers on plotting points and determining whether endpoints should be open or closed based on inequality symbols. Finally, it shows how to verify endpoint status by dragging points across the graph.

What is the function rule for f(x) when x is less than -2?

• -|x| + 4

• x - 3

• 2x - 6

• x + 3

Which symbol is used to indicate that x is greater than or equal to a number?

• ≤

• >

• <

• ≥

What is the correct format for entering a piecewise function in Desmos?

• f(x) = [interval: function rule]

• f(x) =

• f(x) = {interval: function rule}

• f(x) = (interval: function rule)

How do you enter the absolute value of x in Desmos?

• Type 'abs' or use the square root key

• Type 'mod' or use the modulus key

• Type 'abs' or use the absolute value key

• Type 'val' or use the value key

What determines whether a point is open or closed on the graph?

• The size of the point

• The color of the point

• The position of the point

• The inequality symbol used

What should you do to change the style of a point in Desmos?

• Double-click the point

• Right-click the point

• Drag the point

• Click and hold the point

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

• x + 3

• 2x - 6

• x - 3

• -|x| + 4

What is the function rule for the interval -2 ≤ x < 3?

• -|x| + 4

• 2x - 6

• x + 3

• x - 3

How can you verify if an endpoint should be open or closed?

• By zooming in on the graph

• By clicking on the point

• By dragging the point across the graph

• By changing the color of the point

What happens to the point as you approach x = -2?

• It disappears

• It becomes larger

• It jumps up to (-2, 2)

• It changes color