College Algebra

college_algebra_wk._456 x

Week 4: Polynomial and Rational Functions

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 of symmetry.

The graph may not be exact.

Calculations

Explanations of Calculations

W4.5

Given the polynomial f(x) = x4 – 37×2+36, Use the Rational Zero Theorem (aka Rational Roots Theorem) to determine a list of possible zeros. In your own words, explain the meaning of this list. How could you use this information?

Calculations

Explanations of Calculations

W5.3

Solve for x. Check your solution(s).

Calculations

Explanations of Calculations

W5.2

Condense and/or simplify each of the following expressions using a property of logarithms.

Calculations

Explanations of Calculations

W6.4

Gennie has a large collection of Barbie™ dolls, worth a total of $55,000. Within the collection, she has three groups of dolls: Model Collection dolls, International Beauty dolls, and Princess dolls. She determines that the total worth of the Model Collection dolls is $5000 more than the total worth of the International Beauty dolls. The Princess dolls are worth $200 less than the worth of the Model Collection dolls and International Beauty dolls together. How much is each group of dolls worth?

Calculations

Explanations of Calculations

W6.5
Give the algebraic representation of the system of inequalities corresponding to the graph.

Calculations

Explanations of Calculations

ln(31)ln(2)ln(8)
xx
-+=
66
.lnln13
1
.6lnln
4
.3log5log(6)
ax
bxy
cxx
+
–
+-