Unit 2 Learning Outcomes

Upon successful completion of this unit, you will be able to:

• determine the values of one- or two-sided limits for a function given by a graph;
• use algebraic methods to determine the values of one- and two-sided limits for a function given by a formula or state that the limit "does not exist";
• state whether a given function is continuous at a point, and use the properties of continuity to find limits and values of related functions;
• use the Intermediate Value Theorem to determine the number of times a function has a given value;
• approximate the roots of functions using the Bisection Algorithm;
• state the epsilon-delta definition of limit; and
• for a given epsilon, find the required delta graphically and algebraically for linear and quadratic functions.