Using parent graphs to understand the left and right hand limits

The video tutorial explains function transformation by subtracting 2, which shifts the graph 2 units to the right. It highlights the discontinuity at x=2 and discusses the limits from the left and right sides of the graph. The tutorial concludes with advice on using a calculator to visualize the graph.

What is the effect of subtracting 2 from the function on the graph?

• It shifts the graph 2 units to the left.

• It shifts the graph 2 units to the right.

• It shifts the graph 2 units upwards.

• It shifts the graph 2 units downwards.

What happens to the function at x = 2?

• The function has a minimum at x = 2.

• The function has a discontinuity at x = 2.

• The function is continuous at x = 2.

• The function has a maximum at x = 2.

What is the limit of the function from the left side at x = 2?

• 1

• -1

• 2

• 0

What is the limit of the function from the right side at x = 2?

• 2

• 0

• -1

• 1

Why is it helpful to use a calculator to graph the function?

• To find the derivative of the function.

• To determine the function's domain.

• To visualize the transformations and limits discussed.

• To check the accuracy of the function's values.