Find the value c that fills in the hole to make the function continuous

The video tutorial explains the parent function X^3 and its S curve graph. It covers transformations, such as shifting the graph, and addresses constraints like X not equaling zero. The concept of graph holes is introduced using a boat analogy, emphasizing the need to 'plug' the hole for continuity. The tutorial then demonstrates solving for a value C that makes the function continuous, using equations and calculations to find the correct output value.

What is the parent function discussed in the first section?

• X^2

• X^3

• X^4

• X^5

What transformation is applied to the graph of X^3?

• Left 1, Down 2

• Left 2, Down 1

• Right 2, Up 1

• Right 1, Up 2

In the analogy of the fishing boat, what does the plug represent in the context of the graph?

• The origin

• The hole in the graph

• The Y-axis

• The X-axis

What is the purpose of finding the value C in the graph?

• To reflect the graph

• To make the function continuous

• To change the graph's shape

• To shift the graph left

What is the value of C that makes the function continuous?

• 8

• 7

• 6

• 5