System Software for S7 300 and 400 System and Standard Functions
Begin Game. $ 100 $ 200 $ 300 $ 400 $ 500 PolynomialsRational Functions Exponential Functions Log...
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Transcript of Begin Game. $ 100 $ 200 $ 300 $ 400 $ 500 PolynomialsRational Functions Exponential Functions Log...
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Polynomials Rational Functions
Exponential Functions
Log Functions
Anything Goes
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We can use synthetic division
Main Board Question
Polynomials $ 200
-4 1 4 -7 -23 23 12
-4 0 28 -20 -12
1 0 -7 5 3 0
Since 0, is the remainder , we know x+4 is a factor.
Polynomials
Find a polynomial of degree four, having integer coefficients with zeros 3i and 4, with 4
a double zero.
Main Board Answer
$ 300
The graph should look something like this. Important things to mark are, intercepts, and
end behavior.
Main Board Question
Function Basics $ 400
Main Board Question
Rational Functions $ 200
This has a vertical asymptote at x = -4
Since the degree of the top is larger than the degree of the bottom, it does not have a
horizontal asymptote.
Rational Functions
Main Board Answer
$ 300
Analyze the behavior of
Near its vertical asymptotes at x=4, and x=-2
Main Board Question
Rational Functions $ 300
The answer is:
This says the function will approach positive infinity as x approaches 4 from the right, and -2 from the right. The function will approach negative infinity as x approaches 4 from the left, and -2 from the left.
Rational Functions
Main Board Answer
$ 500
Make a rational function with the following:
• crosses x-axis at -2, and 4
•Has vertical asymptotes at x = -1 and x = 3
•Has a horizontal asymptote at y = 2
Main Board Question
Rational Functions $ 500
One possible answer is to start with:
Then multiply everything out to get:
Main Board Question
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The domain is all real numbers.
The range is (2, infinity)
Exponential Functions
Anything Goes
If $10,000 is invested at an interest rate of 10% per year, compounded semiannually, find
the value of the investment after the given number of years:
• 5 years
•10 years
•15 years
Main Board Answer
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The answer is:
5 yrs: $16,288.95
10 yrs: $26,532.98
15 yrs: $43,219.42
Main Board Question
Anything Goes $ 400
(Disclaimer: For this problem a calculator was handy for doing computations. Since no calculator will be allowed on the exam, I will be
sure to choose a problem with “better” numbers to work with.)
Anything Goes
The following is an except of Joe’s work. Identify, and correct Joe’s mistakes to see the
answer they should have gotten:
Main Board Answer
$ 500