Graphing Functions with Domain Restrictions

This video tutorial demonstrates how to graph functions with domain restrictions using Desmos. It covers the process of entering functions, applying domain restrictions, adjusting graph settings, and identifying endpoints as open or closed points. The tutorial includes examples of graphing two functions, f(x) and g(x), with specific domain restrictions, and provides guidance on sharing and exporting graphs.

What is the domain restriction for the function f(x) = -1/2|x-3| + 4?

• x > -5 and x < 11

• x >= -5 and x <= 11

• x < -5 or x > 11

• x <= -5 or x >= 11

Which tool on Desmos allows you to enter the absolute value function?

• Share tool

• Keypad tool

• Zoom tool

• Graphing tool

How do you apply a domain restriction in Desmos?

• Using angle brackets

• Using curly brackets

• Using parentheses

• Using square brackets

Why are endpoints identified as closed points in the graph of f(x)?

• Because they are not part of the domain

• Because they are part of the domain

• Because they are above the x-axis

• Because they are below the x-axis

What color is used to highlight the endpoints of the function f(x) in the tutorial?

• Blue

• Green

• Red

• Purple

What is the domain restriction for the function g(x) = 1/4(x+2)^2 - 5?

• x >= -2

• x < -2

• x > -2

• x <= -2

How is an open point represented in Desmos?

• By a triangle

• By a square

• By a hollow circle

• By a filled circle

What is the color used for the open point in the graph of g(x)?

• Purple

• Black

• Green

• Red

What should you do if a point is not included in the domain of a function?

• Plot it as a closed point

• Highlight it in red

• Plot it as an open point

• Ignore it

What is the purpose of using domain restrictions in graphing functions?

• To make the graph more colorful

• To include all real numbers

• To exclude all real numbers

• To limit the graph to a specific interval