Investigation of Instantaneous Rate of Change
Scenario 1:
ai) 3.422 bill. $ per year; ii) 3.205 bill. $ per year; iii) 3.159 bill. $ per year; iv) 3.154 bill. $ per year
v) In 1994 Compaqs corporate revenue is increasing at a rate of 3.154 billion dollars
Transformations of Basic Graphs Answers
I. Adding outside the function shifts the basic graph up. Subtracting outside the function shifts
the basic graph down.
II. Adding inside the function shifts the basic graph left. Subtracting inside the function shi
Equations
Type of
Equation
MAT 161
Generic Form
Identify the Constants
m = slope
Linear
b = y-intercept or initial
value
b = growth
factor
Exponenti
al
a = initial
value
= growth factor
k>0
b = decay factor
= decay factor
k<0
Periodic
Power
Quadratic
Desc
How Close Can You Come? Answers
1. 2
2. 0.60
3. 1.18
4. 2.13
5. 1.61
6. 3.09
7. 2
8. 2.16
9. 3.06
10. 2.10
11. 2.72
12. 2.96
Inverse Functions Answers
The domain and range of inverse functions are always reversed. Also their graphs reflect
across the grap
Example:
Sams Club sells a skateboard ramp that is 38.5 inches long and 12 inches high. Landwave
advertises a skateboard ramp that is 24 inches high and has an angle of inclination of 15.
Which skateboard ramp is steeper? What is the length of the slanted
Functions by Words
1. Morris wanted Road Runner access and found an ad enticing him with $25.95 a month for
the first six months. His wife, Mavis, read the whole ad and found out the price increased to
$39.95 a month after the first six months. They decid
Test 1 Learning Objectives
Learning Objective
1. Given a function as a real world table of values,
students should be able to use function notation to
compute values of the function.
2. Given a function as a real world table of values,
students should be
Introduction
The names of our group members are Angela Salomone, Lindsay England, Kate
Dennen, and Nicole Brossart. The project we are doing is called The Bungee Jumping
Egg. The project is about measuring how far the egg would jump using just a few
simpl
LAB 2 Equations and Graphs
In this lab, you will use Excel to solve equations and determine the model which best fits the
ordered pairs in a data set. You will enter data, graph the data, determine the appropriate
model, and use this model to predict futu
Section 3.3 and 3.4 Practice
For each of the data tables below complete the following steps:
a. Compute the average rate of change.
b. Find a linear model using the STAT Menu on your calculator. On the TI-83 and 84 you push the
STAT key and choose EDIT fi
Trigonometry of Lines
1. Sams club is steeper because its slope is 0.31 inch per inch and Landwave has
a slope of 0.27 inch per inch. Its slanted side is 40.33 inches.
2. Daredevil Drop would have to have a horizontal distance of 209 inches.
Daredevils Dr
t
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
The height of a golf ball above the ground in feet, h, can be modeled by the cubic function
for
where t is time measured in seconds after the golf ball was hit.
Compute the following average rates of change in Excel
Test 3 Learning Objectives
Learning Objectives
Notes
1. Given a growth rate or decay rate, students
should be able to determine the growth factor or
decay factor.
2. Given a growth factor or decay factor,
students should be able to determine the growth
ra