Math 125 Fall 2001 Test 1 Review

1. Find the limit f(x) for a compound function at 4 different values of x.

2. Find the limit f(x) at a 4 different values when f(x) is given graphically.

3. Evaluate the limit P(x) / Q(x) where P and Q are polynomials as x approaches some finite number a.

4. Evaluate the limit P(x) / Q(x) where P and Q are polynomials as x approaches infinity.

5. Given f(x) = P(x) / Q(x) where P and Q are polynomials, find horizontal and vertical asymptotes.

6. State the definition of the derivative conceptually, graphically, or algebraically.

7. Given the graph of f(x), be able to draw the graph of f ' (x).

8. If D represents the number of deer amd W represents the number of wolves in the forest as a function of time,
a. What sign would you expect dD/dW to have?
b. What sign would you expect dW / dD to have?

9. Find the equation of the tangent line to a given function at a specified point.

10. Differentiate functions using the power rule, product rule, quotient rule, and the chain rule.