Learn to evaluate the limit of the absolute value function

The video tutorial reviews continuous functions, focusing on V-shaped graphs. It covers transformations, including reflections and horizontal shifts, and emphasizes graphing techniques using the X-H format. The tutorial also explains how to evaluate limits and visualize absolute values, providing a comprehensive review of these concepts for students familiar with precalculus and algebra.

What is the primary characteristic of a continuous function as discussed in the video?

• It is always decreasing.

• It is always increasing.

• It has breaks or gaps.

• It can be drawn without lifting the pencil.

When transforming a function, why is it important to factor out the negative sign?

• To make the function continuous.

• To correctly apply transformations.

• To simplify the equation.

• To change the function's domain.

What transformation occurs when a function is reflected about the Y-axis?

• Horizontal shift

• Reflection over the Y-axis

• Vertical shift

• Reflection over the X-axis

How do you determine if a graph is continuous at a specific point?

• Evaluate the limit at that point.

• Check if the graph has a vertical asymptote.

• Ensure the graph is symmetric.

• Verify if the graph is increasing.

What is the result of evaluating the limit of the function as X approaches 2?

• The limit is infinite.

• The limit is 0.

• The limit is 2.

• The limit is undefined.