Graph piecewise functions three equations

The video tutorial covers graphing three different equations: a cubic function, a horizontal line, and a linear function. Each function is graphed with specific domain restrictions. The tutorial explains how to apply these restrictions and visualize the piecewise function that results from combining these graphs.

What was the main focus of the previous class that the teacher recalls?

• Learning about calculus

• Managing and graphing equations

• Solving quadratic equations

• Studying trigonometric functions

How is the cubic function X + 4^3 transformed on the graph?

• Shifted 4 units down

• Shifted 4 units up

• Shifted 4 units to the left

• Shifted 4 units to the right

What does an open circle on a graph indicate?

• A point included in the domain

• A point where the function changes direction

• A point excluded from the domain

• A point where the function is undefined

What is the domain restriction for the horizontal line y = 2?

• X values greater than or equal to 1

• X values between -4 and 1

• X values less than -4

• X values greater than 1

For the linear function y = X - 1, what is the domain restriction?

• X values between -4 and 1

• X values greater than or equal to 1

• X values less than 1

• All real numbers