Learn how to evaluate the left and right hand limits of a piecewise function with thre

The video tutorial covers piecewise functions, focusing on identifying breaking points and sketching graphs. It explains how to evaluate limits from the left and right at specific points, and how to determine the value of functions at these points. The tutorial emphasizes understanding the continuity and discontinuity of functions and provides examples to illustrate these concepts.

What is the shape of the graph for the function defined as 1 - x^2 for x < 1?

• An upward parabola

• A downward parabola

• A straight line

• A hyperbola

When approaching x=1 from the right, which function should be used to determine the limit?

• The function for x < 1

• The function for x > 2

• The function for x > 1

• The function for x = 1

What is the limit as x approaches 1 from the left?

• 3

• Does not exist

• 0

• 1

How do you determine which function to use for evaluating f(0)?

• Use the function for x > 2

• Use the function for x > 1

• Use the function for x < 1

• Use the function for x = 0

What is the value of f(3) based on the given piecewise functions?

• 4

• 6

• 5

• 3