Limits and Function Behavior

The video tutorial demonstrates how to use a graphing calculator to find the limit of a function by setting up a table of values. The instructor guides through entering the equation, configuring table settings for manual input, and analyzing the limit as x approaches 2. The tutorial highlights the presence of a hole in the graph and explains how the y-values approach 1 from both sides of x=2, despite the function's value not existing at that point.

What is the primary goal of using a graphing calculator in this lesson?

• To find the limit of a function by completing a table

• To solve equations algebraically

• To graph linear equations

• To calculate derivatives

What is the first step in using the graphing calculator for this lesson?

• Graphing the function

• Calculating the derivative

• Entering the equation in y equals

• Setting the window size

What equation is entered into the graphing calculator?

• x^2 + 2x - 3

• x^2 - 3x + 2

• x^2 + 3x - 2

• x^2 - 2x + 3

Why is there an error at x = 2 in the table?

• The equation is incorrect

• The function is undefined at x = 2

• The graphing calculator is malfunctioning

• The table is not set up properly

What causes the error in the table at x = 2?

• A hole in the graph

• A vertical asymptote

• A discontinuity

• A horizontal asymptote

What does the graph of the function look like near x = 2?

• A curve with a hole

• A horizontal line

• A straight line

• A parabola

What setting is changed to manually input values in the table?

• Auto to Ask for independent variables

• Auto to Ask for dependent variables

• Auto to Manual for calculations

• Auto to Manual for graphing

Why is the dependent variable set to 'Ask' in the table settings?

• To graph the function

• To calculate derivatives

• To manually reveal values after inputting all x values

• To automatically fill in values

What is the purpose of setting the table to 'Ask' for both independent and dependent variables?

• To automatically fill in all values

• To manually input and reveal values

• To graph the function

• To calculate the derivative

What is the y-value approaching as x approaches 2 from the left?

• 3

• 2

• 0

• 1