Evaluating the limit of a continuous function

The video tutorial explains the concept of limits, focusing on the function X + 1 as X approaches 5. It uses graphical analysis to demonstrate how the function value approaches 6. The tutorial highlights the importance of continuity for direct substitution to work and introduces piecewise functions, emphasizing that direct substitution is only applicable when the function is continuous.

What is the value of the function X + 1 as X approaches 5?

• 5

• 6

• 7

• 4

How does the function behave as X approaches 5 from the left?

• It approaches 6

• It approaches 7

• It approaches 5

• It approaches 4

What happens to the function value as X decreases from 7 to 5?

• It decreases to 5

• It increases to 7

• It remains constant

• It decreases to 6

When can direct substitution be used to find the limit of a function?

• When the function is discontinuous

• When the function is continuous

• When the function is quadratic

• When the function is linear

What is a key consideration when using direct substitution for limits?

• The function must be linear

• The function must be piecewise

• The function must be continuous

• The function must be quadratic