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Begin Game
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$ 100 $ 200 $ 300 $ 400 $ 500 PolynomialsRational Functions Exponential Functions Log Functions Anything Goes $ 100 $ 200 $ 300 $ 400 $ 500 $ 100 $ 200 $ 300 $ 400 $ 500 $ 100 $ 200 $ 300 $ 400 $ 500 $ 100 $ 200 $ 300 $ 400 $ 500
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Polynomials Main Board Answer $ 100 Find the Quotient and Remainder of
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For this you must use long division to get: Main Board Question Polynomials$ 100
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Polynomials Show that x+4 is a factor of Main Board Answer $ 200
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We can use synthetic division Main Board Question Polynomials$ 200 -41 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.
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Polynomials Find a polynomial of degree four, having integer coefficients with zeros 3i and 4, with 4 a double zero. Main Board Answer $ 300
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Start with : Main Board Question Polynomials$ 300 Multiply out to get:
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Polynomials Graph Main Board Answer $ 400
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The graph should look something like this. Important things to mark are, intercepts, and end behavior. Main Board Question Function Basics$ 400
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Polynomials List all zeros of Main Board Answer $ 500
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This can be factored into: Main Board Question Polynomials$ 500 So the zeros are -1, 3, -i, and i
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Rational Functions Main Board Answer $ 100 Find the x and y intercepts of
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Main Board Question Rational Functions$ 100 The y-int is: The x-int’s are:
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Rational Functions Main Board Answer $ 200 Find the vertical and horizontal asymptotes of
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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.
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Rational Functions Main Board Answer $ 300 Analyze the behavior of Near its vertical asymptotes at x=4, and x=-2
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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.
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Rational Functions Main Board Answer $ 400 Graph the following function
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Main Board Question Rational Functions$ 400 The answer is:
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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
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Main Board Question Rational Functions$ 500 One possible answer is to start with: Then multiply everything out to get:
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Exponential Functions Sketch a graph of the function: Main Board Answer $ 100
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The answer is: Main Board Question $ 100Exponential Functions
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Main Board Answer $ 200 Write the following in exponential form Exponential Functions
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Main Board Question $ 200 The answer is: Exponential Functions
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Main Board Answer $ 300 What is the domain and range of the function? Exponential Functions
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Main Board Question $ 300 The domain is all real numbers. The range is (2, infinity) Exponential Functions
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Main Board Answer $ 400 Find the function Exponential Function Whose graph is given
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Main Board Question $ 400 The answer is: Exponential Functions
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Main Board Answer $ 500 Find the inverse of: Exponential Functions
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Main Board Question $ 500 The answer is: Exponential Functions
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Sketch a graph of the function Main Board Answer $ 100Log Functions
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The answer is: Main Board Question $ 100Log Functions
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Write the following in logarithmic form Main Board Answer $ 200Log Functions
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The answer is: Main Board Question $ 200Log Functions
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What is the domain and range of Main Board Answer $ 300Log Functions
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The domain is (-1,infinity) The range is all real numbers Main Board Question $ 300Log Functions
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Main Board Answer $ 400 Find the function Whose graph is given Log Functions
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The answer is: Main Board Question $ 400Log Functions
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Main Board Answer $ 500 Find the inverse of Log Functions
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The answer is: Main Board Question Log Functions$ 500
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Anything Goes Expand the following using the laws of logarithms Main Board Answer $ 100
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The answer is: Main Board Question Anything Goes$ 100
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Anything Goes Combine the following using the laws of logarithms Main Board Answer $ 200
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The answer is: Main Board Question Anything Goes$ 200
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Anything Goes Express the following in the form a + bi Main Board Answer $ 300
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The answer is: Main Board Question Anything Goes$ 300
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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 $ 400
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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.)
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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
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Main Board Question Anything Goes$ 500 The subtraction was done incorrectly. It should have been -2 circled in red. Later on the subtraction was done incorrectly again, see the blue circle. The correct quotient should actually be 6x – 2
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