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Math 104 Homework 2: Graph Analysis, Function Properties, and Linear Regression, Assignments of Algebra

Math 104 homework 2, which includes various math problems. Students are required to keep a log of study hours, analyze a graph, find function properties, and perform linear regression. Problem 1 asks students to maintain a study log. In problems 2 and 3, students use a graph to determine function properties and find x values. Problem 4 involves finding the equation of a linear model and its intercept, representing the annual consumption of milk at a given year.

Typology: Assignments

Pre 2010

Uploaded on 08/18/2009

koofers-user-fyk
koofers-user-fyk 🇺🇸

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Math 104 Homework #2 Due Wed., February 6 Name __________________________
Show the work you do for these problems on additional pages. Attach the papers to this sheet,
with problems numbered and in order.
1. Keep a log of the time you spend on this class. Include the time you are in class and in the
MAC, plus the time spent reading the book and doing homework assignments. If you have
a tutor, include that time in the list also.
2. Use the graph of
( )y f x
shown below to answer the following questions.
a. Explain why the graph shown is the graph of a function.
b.
( 1)f
= ________
c. Find two values of x such that
( ) 1f x
.
x
___, ___
3. Let
( ) 4.2 1.5g x x
. Find the following.
a.
( 8.5)g
= ________ b. An x value for which
( ) 8.5g x 
. x = ______
4. In 1950 the annual consumption of milk was 36.4 gallons per person. In 2000 the annual
consumption of milk was 22.6 gallons per person per year.
a. Find the average rate of change of the annual consumption of milk between 1950
and 2000. Write your answer in a sentence and include the units.
b. Let M be the annual consumption of milk t years after 1950. Find an equation for the
linear model.
M = ___________________________
c. Sketch a graph of your equation.
d. Find the t –intercept.
t
________
e. What does the t –intercept represent
in this situation?
Write your answer in a sentence.
Math 104 Activity Log
321-3-2-101234-1-2-3
35
30
25
20
15
10
5
0 10 20 30 40 50 60 70
t years after 1950
pf2

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Download Math 104 Homework 2: Graph Analysis, Function Properties, and Linear Regression and more Assignments Algebra in PDF only on Docsity!

Math 104 Homework #2 Due Wed., February 6 Name __________________________

Show the work you do for these problems on additional pages. Attach the papers to this sheet,

with problems numbered and in order.

  1. Keep a log of the time you spend on this class. Include the time you are in class and in the

MAC, plus the time spent reading the book and doing homework assignments. If you have

a tutor, include that time in the list also.

  1. Use the graph of

yf ( x )

shown below to answer the following questions.

a. Explain why the graph shown is the graph of a function.

b.

f ( 1) 

= ________

c. Find two values of x such that

f ( x )  1 .

x  ___, ___

  1. Let

g x ( ) 4.2 x  1.

. Find the following.

a.

g ( 8.5)  = ________ b. An x value for which

g x ( )  8.

. x = ______

  1. In 1950 the annual consumption of milk was 36.4 gallons per person. In 2000 the annual

consumption of milk was 22.6 gallons per person per year.

a. Find the average rate of change of the annual consumption of milk between 1950

and 2000. Write your answer in a sentence and include the units.

b. Let M be the annual consumption of milk t years after 1950. Find an equation for the

linear model.

M = ___________________________

c. Sketch a graph of your equation.

d. Find the t –intercept.

t__________

e. What does the t –intercept represent

in this situation?

Write your answer in a sentence.

Math 104 Activity Log

321 -3-2-101234-1-2-

35

30

25

M

20

15

10

5

0 10 20 30 40 50 60 70

t years after 1950

Name __________________________________

Activity Date Time Total Hours