Understanding Function Values and Limits

The video tutorial explains how to determine the function value F(7) using a graph, highlighting the presence of a hole and a solid point. It then explores one-sided limits as x approaches 7 from both the positive and negative sides, concluding that the overall limit does not exist due to differing values. Finally, it examines the limit as x approaches 8, confirming its existence as both sides approach the same function value.

What is the function value of f(7) based on the graph?

• Does not exist

• 5

• 2

• 7

When x approaches 7 from the positive side, what does the function value approach?

• 2

• 5

• 7

• Does not exist

As x approaches 7 from the negative side, what is the function value approaching?

• 7

• 5

• 2

• Does not exist

Why does the limit as x approaches 7 not exist?

• The one-sided limits are not equal

• The function value is undefined

• The graph is not continuous

• The graph has a hole

What is the limit as x approaches 8?

• Does not exist

• 5

• 2

• 7