Graph piecewise functions with a hole

The video tutorial explains how to graph piecewise functions, focusing on Y = 1/2 X squared and Y = -1. It covers vertical compression, identifying a hole at X=2, and graphing a horizontal line for Y = -1. The tutorial also discusses discontinuities and different domains for the functions.

What effect does the 1/2 coefficient have on the graph of Y = 1/2 X^2?

• It causes a vertical stretch.

• It causes a vertical compression.

• It shifts the graph downwards.

• It shifts the graph upwards.

At which X value is there a hole in the graph of Y = 1/2 X^2?

• X = 0

• X = 1

• X = 2

• X = 3

What is the nature of the graph of Y = -1?

• A horizontal line at Y = -1

• A vertical line at X = 2

• A parabolic curve

• A diagonal line through the origin

What type of discontinuity is present at X = 2 for the function Y = -1?

• Infinite discontinuity

• Jump discontinuity

• Oscillating discontinuity

• Removable discontinuity

What is the relationship between the domains of the two functions discussed?

• They have the same domain.

• They have different domains.

• They have overlapping domains.

• They have no domain.