Mathematics 133 -- Intensive Calculus for Science 1
Quiz 4
October 3, 2001
The fourth regular quiz of the semester will be given in class on
Friday, October 5. It will cover the material from sections
1.6 and 2.1, and 2.2 from this week's problem set. No
calculators will be allowed on this quiz. The specific topics
to be covered will be:
- Polynomial functions: f(x) = anxn + an-1xn-1
+ ... + a1x + a0. Know:
- How to find x-axis intercepts by factoring
- How the sign of an determines the overall
shape of the graph
- How to determine the smallest possible n and/or a possible
equation from a graph (like Section 1.6/5,10-13)
- Rational functions: f(x) = p(x)/q(x), where p(x), q(x)
are polynomials. Know:
- How to determine x-axis intercepts, vertical asymtotes,
horizontal asymptotes from the equation (like Section 1.6/6)
- How to determine a possible equation for a graph of a rational
function. I would concentrate on relatively simple cases here --
for instance where p(x), q(x) both have degree 2 or less. (See
for instance, Section 1.6/31, 32, Review problems for Chapter 1/16
- Average and instantaneous speed -- see the problems from Section 2.1
on this week's homework
- Limits -- see the problems from Section 2.2 on this week's homework
On the quiz, there will be three
questions similar to problems from the assignment.