MAT 3503
Functions and Modeling
Identifying Functions
Revised September 7, 2010
Goal: Gain a qualitative understanding of graphs of functions. In particular focus on the
relationships between acceleration, velocity, and position vs. time in terms of rates
Algebrai Forms for Conis
MAT 3503
Funtions and Modeling
Revised September 28, 2010
The Cirle
The irle is the set of all points whih are a xed distane, the radius, from a given point, the enter. Derive
the equation (x h)2 + (y k )2 = r2 for a irle with rad
MAT 3503
Functions and Modeling
Analytical Definitions of Conic Sections
Revised September 28, 2010
We visualize each conic section as the intersection of a plane with a right circular cone
(see Figures A, B, and C).
Figure A
Parabola
Figure B
Ellipse
Fig
MAT 3503
Functions and Modeling
Homework 2
Revised September 14, 2010
1. Compare the following two velocity graphs. Which person went the farthest? Explain
your details carefully. (Assume the scale is the same for both graphs)
2. Consider graph below as a
The Baseball Streak
MAT 3503
Funtions and Modeling
Revised August 14, 2010
Eah day the newspaper reports the statistis of the Major League Baseball teams. Among the statistis is
the teams won-loss reord over the last 10 games. For example, a team may be 3
MAT 3503
Functions and Modeling
Going the Distance
Revised September 7, 2010
The information screen on many late model cars shows things like average speed, speed, average miles per
gallon, and miles per gallon. The information is generated from data supp
MAT 3503
Functions and Modeling
Sequences
Revised October 4, 2010
Based on the given information try to find the next few terms of the sequence generated for each
situation. Also, define an explicit equation that will generate the terms (if an equation is
MAT 3503
Tournaments
Revised July 5, 2014
Best of 2n + 1 Tournaments
Two teams play up to 2n + 1 games until one team wins n + 1. Typical formats are best of 3, best of 5, or
best of 7.
1. What is the least number of games that can be played? The most?
2.