W1.2
You are choosing between two health clubs. Club A offers membership for a fee of $70 plus a monthly fee
of $25. Club B offers a membership fee of $45 plus a monthly fee of $30.
a. Using variables of your choice, set-up an equation for each clubs memb
Matthew Schwartz
Week Number: 4 Problem Number: 3
A company producing steel construction bars uses the function R (x) = -0.04x2+6.8x -100 to model the
unit revenue in dollars for producing x bars. For what number of bars is the revenue at a maximum?
What
Matthew Schwartz
Week Number: 6 Problem Number: 1
Solve each system of equations or indicate that it has no solution. You may use either the substitution
method or the addition method. Be sure to discuss the reasoning behind your choice of method(s).
a.
4
Matthew Schwartz
Week Number: 3 Problem Number: 2
Find the domain for the following functions. You may use either set-builder notation or interval notation.
a.
c.
1
1
f ( x)
x2 x 3
h ( x )=
4
8x
Calculations
a.
x+ 2=0, x=2
x3=0, x=3
b
.
d.
g ( x ) = x5
g
Week 5 Group EYB Final Submission
Week Number: 5 Problem Number: 1
Suppose that you have $12,000 to invest over a 4-year period. There are two accounts to choose from:
4% compounded monthly or 3.7% compounded continuously.
a.
b.
c.
d.
Write the formula fo
Robert Stephenson
Week 6 EYB, Problems 1 & 2
W6.1
Solve each system of equations or indicate that it has no solution. You may use either the substitution
method or the addition method. Be sure to discuss the reasoning behind your choice of method(s).
a.
x
PROBLEM: Week 5-3
log(5x-5)=log(2x+3)+log(15)
Combine the logarithmic expressions using the product rule of logarithms.
log(5x-5)=log(2x+3)(15)
Multiply each term in the 1st polynomial by each in the 2nd polynomial
log(5x-5)=log(2x 15+3 15)
Multiply 15 by
W4.4
Consider the function
f ( x ) 4 x 3 8 x 2 x 2
to determine each of the following:
a.
b.
The functions end behavior
The x-intercept(s). Make sure to clearly state whether the graph crosses the xaxis OR touches the x-axis and turns around at each inter
W2.3
Use the graph of f to the
right to determine each of the
following. Where applicable,
use interval notation.
(Assume that at each end,
there is an arrowhead)
a. intervals on which f is
increasing
b. intervals on which f is
decreasing
c. any relative
Week Number_1_ Problem Number _2_
Calculations
1
#1.2
You are choosing between
two health clubs. Club A
offers membership for a fee
of $50 plus a monthly fee of
$25. Club B offers a
membership fee of $25 plus
a monthly fee of $30.
a.
Using variables of yo
Section 2.7
Inverse Functions
Inverse Functions
The function f is a set of ordered pairs, (x,y), then the
changes produced by f can be undone by reversing
components of all the ordered pairs. The resulting
relation (y,x), may or may not be a function. Inv
Week Number_2_ Problem Number _2_
Part I. Given the following
function, y = f(x), find the
indicated values:
a.
b.
c.
f(1)
f(3)
f(0)
Part II. Given the function f (x) = x2 + 7x - 22, find the indicated values:
a.
b.
c.
f(3)
f(-3)
f(0)
Calculations
1
#2.2
Jannie Youngblood
Simplify. Write the result
in standard form.
8 32
24
Week Number_1_ Problem Number _1.3_
Calculations
1
Explanations of Calculations
32 as 132.
8+ 132
24
1 32 as 1
What you would need to do now is pull out
the imaginary unit
Now we wi
Jannie Youngblood
Week Number_4_ Problem Number _1_
Consider the parabola to the right to
determine each of the following:
a. Explain whether the function has a
maximum value or minimum
value.
b. Determine the minimum or
maximum value. Where does it
occur
Jannie Youngblood
Week Number_2_ Problem Number _2.2_
Part I. Given the following function, y = f(x), find the indicated values:
a.
b.
c.
f(0)
f(-1)
f(-3)
Part II.
a.
b.
c.
Given the function f (x) = x2 - 5x + 23, find the indicated values:
f(2)
f(-2)
f(0
Jannie Youngblood
Week Number_6_ Problem Number _1_
Solve each system of equations or indicate that it has no solution. You may use either the substitution
method or the addition method. Be sure to discuss the reasoning behind your choice of method(s).
a.
Jannie Youngblood
Week Number_3_ Problem Number _1_
In the following functions, a basic common function, f(x), has undergone a transformation into another
function. For each of the following graphs, determine the equation for g(x).
a. g(x) =
f ( x )=x 2
b
Section 2.5
Transformation of Functions
Graphs of Common Functions
Reciprocal Function
y
f ( x)
1
x
x
Domain: -,0 0,
Range: -,0 0,
Decreasing on -,0 and 0,
Odd function
Vertical Shifts
Vertical Shifts
Let f be a function and c be a positive real numbe
Week Number_3_ Problem Number _4_
Calculations
1
#3.4
Given f (x) = x2 + 3x - 2
and g(x) =
, find the
Explanations of Calculations
PLAN:
Solve each composite function
x 2
following:
a)
f g (x)
b)
g f (x)
c)
g f ( 2)
2
3
4
A)
First, I rewrote the compositi
Section 2.6
Combinations of Functions:
Composite Functions
The Domain of a Function
3x+5
x2 4x 5
x2 4x 5 0
g(x)=
x 5 x 1 0
x 5 0 x 1 0
x=5
x=-1
Domain: -,-1 1,5 5,
h( x ) 2 x 5
2x 5 0
2x 5
5
x
2
5
Domain : ,
2
Domains of Other Functions
f ( x) 4 x 5
D
Topic: High School GPAs Affect on Math and Verbal SAT Scores
(LR-1) Purpose: To analyze if a persons high school gpa has an affect on their combined math
and science SAT scores. Data: The statistical GPA and SAT scores were retrieved from
http:/www.stats4