college algebra HELP!
Week 4: Polynomial and Rational Functions
W4.1
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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.
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The graph may not be exact. |
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W4.5
Given the polynomial f(x) = x4 - 37x2+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?
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W5.3
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W5.2
Condense and/or simplify each of the following expressions using a property of logarithms.
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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?
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W6.5
Give the algebraic representation of the system of inequalities corresponding to the graph.
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ln(31)ln(2)ln(8)
xx
-+=
66
.lnln13
1
.6lnln
4
.3log5log(6)
ax
bxy
cxx
+
-
+-