Week Number_3_ Problem Number _1_
Calculations
1
Explanations of Calculations
Copy the problem or write out
important information.
Domain for this graph is
( , )
Range is
[0, )
Decreasing on
( ,0)
Increasing on
2
3
(0, )
This is an even function
g( x) x 3
W4.1
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 and where it
occurs.
c. Identify the vertex.
d. Identify the axis o
Week Number_2_ Problem Number _1_
Calculations
1
Use the graph for the following functions
to determine domain and range for the
function. Express each domain or range
in set-builder notation as well as interval
notation.
Explanations of Calculations
Copy
W6.2
The Dollar General store sells two different brands of laundry detergent: Brand A and Brand B. Brand A
costs $3.00 and Brand B costs $4.50. This week, the store sold a total of 38 units and collected exactly
$136.50. How much of each brand of deterge
Week 2
1
2
Problem 4
Calculations
Determine whether each function is
even, odd, or neither. Justify your
answer
a) f(x)=3x3+5x
fx=33+5x
x
x
f=x(32+5)
x
f=3x2+5
This is an even function
3
B)
f(x)=5x7-4x3
fx=5x7-4x3
x
x
f=5x7-22.x3
x
f=x3(5x4-4)
x
f=x3-1(5x
Week Number_2_ Problem Number _1_
1
Calculations
Use the graph for the following functions (a-d) to
determine domain and range for the function. Express
each domain or range in set-builder notation as well as
interval notation.
2
Explanations of Calculati
W4.1
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
and where it
occurs.
The graph may not be exact.
c. Identify the
ve
W3.2
Find the domain for the following functions. You may use either set-builder notation or interval notation.
a.
1
1
f ( x)
x2 x 3
c.
h ( x )=
4
8x
Calculations
a
f ( x)
1
1
x2 x 3
x3=0
x3=0
x=3
(,2)(2,3)(3,),cfw_x|x2,3
(,2)(2,3)(3,),cfw_x|x2,3
b
g (
Week Number_3_ Problem Number _1_
Calculations
1
Explanations of Calculations
Copy the problem or write out
important information.
Domain for this graph is
( , )
Range is
[0, )
Decreasing on
( ,0)
Increasing on
2
3
(0, )
This is an even function
g( x) x 3
W5.3
Solve for x. Check your solution(s).
log 3 4 log 3 (4 x 2 9) log 3 60
Calculations
Log[3](16x^2+36)=log[3](60)
16x^2+36=60
16x^2=24
X^2=3/2
x= 2
X=
6 6
,
2 2
Explanations of Calculations
Simplify the left side.
For the equation to be equal, the argum