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Page 1: Begin Game. $ 100 $ 200 $ 300 $ 400 $ 500 PolynomialsRational Functions Exponential Functions Log Functions Anything Goes $ 100 $ 200 $ 300 $ 400 $ 500.

Begin Game

Page 2: Begin Game. $ 100 $ 200 $ 300 $ 400 $ 500 PolynomialsRational Functions Exponential Functions Log Functions Anything Goes $ 100 $ 200 $ 300 $ 400 $ 500.

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Polynomials Rational Functions

Exponential Functions

Log Functions

Anything Goes

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Polynomials

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$ 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

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We can use synthetic division

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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.

Page 7: Begin Game. $ 100 $ 200 $ 300 $ 400 $ 500 PolynomialsRational Functions Exponential Functions Log Functions Anything Goes $ 100 $ 200 $ 300 $ 400 $ 500.

Polynomials

Find a polynomial of degree four, having integer coefficients with zeros 3i and 4, with 4

a double zero.

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$ 300

Page 8: Begin Game. $ 100 $ 200 $ 300 $ 400 $ 500 PolynomialsRational Functions Exponential Functions Log Functions Anything Goes $ 100 $ 200 $ 300 $ 400 $ 500.

Start with :

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Polynomials $ 300

Multiply out to get:

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Polynomials

Graph

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The graph should look something like this. Important things to mark are, intercepts, and

end behavior.

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Function Basics $ 400

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Polynomials

List all zeros of

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This can be factored into:

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Polynomials $ 500

So the zeros are -1, 3, -i, and i

Page 13: Begin Game. $ 100 $ 200 $ 300 $ 400 $ 500 PolynomialsRational Functions Exponential Functions Log Functions Anything Goes $ 100 $ 200 $ 300 $ 400 $ 500.

Rational Functions

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Find the x and y intercepts of

Page 14: Begin Game. $ 100 $ 200 $ 300 $ 400 $ 500 PolynomialsRational Functions Exponential Functions Log Functions Anything Goes $ 100 $ 200 $ 300 $ 400 $ 500.

Main Board Question

Rational Functions $ 100

The y-int is:

The x-int’s are:

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Rational Functions

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Find the vertical and horizontal asymptotes of

Page 16: Begin Game. $ 100 $ 200 $ 300 $ 400 $ 500 PolynomialsRational Functions Exponential Functions Log Functions Anything Goes $ 100 $ 200 $ 300 $ 400 $ 500.

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.

Page 17: Begin Game. $ 100 $ 200 $ 300 $ 400 $ 500 PolynomialsRational Functions Exponential Functions Log Functions Anything Goes $ 100 $ 200 $ 300 $ 400 $ 500.

Rational Functions

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Analyze the behavior of

Near its vertical asymptotes at x=4, and x=-2

Page 18: Begin Game. $ 100 $ 200 $ 300 $ 400 $ 500 PolynomialsRational Functions Exponential Functions Log Functions Anything Goes $ 100 $ 200 $ 300 $ 400 $ 500.

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

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Graph the following function

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Rational Functions $ 400

The answer is:

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Rational Functions

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$ 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:

Page 23: Begin Game. $ 100 $ 200 $ 300 $ 400 $ 500 PolynomialsRational Functions Exponential Functions Log Functions Anything Goes $ 100 $ 200 $ 300 $ 400 $ 500.

Exponential Functions

Sketch a graph of the function:

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$ 100

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The answer is:

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$ 100Exponential Functions

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Write the following in exponential form

Exponential Functions

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The answer is:

Exponential Functions

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What is the domain and range of the function?

Exponential Functions

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The domain is all real numbers.

The range is (2, infinity)

Exponential Functions

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Find the function

Exponential Function

Whose graph is given

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The answer is:

Exponential Functions

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Find the inverse of:

Exponential Functions

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$ 500

The answer is:

Exponential Functions

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Sketch a graph of the function

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$ 100Log Functions

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The answer is:

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$ 100Log Functions

Page 35: Begin Game. $ 100 $ 200 $ 300 $ 400 $ 500 PolynomialsRational Functions Exponential Functions Log Functions Anything Goes $ 100 $ 200 $ 300 $ 400 $ 500.

Write the following in logarithmic form

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$ 200Log Functions

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The answer is:

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$ 200Log Functions

Page 37: Begin Game. $ 100 $ 200 $ 300 $ 400 $ 500 PolynomialsRational Functions Exponential Functions Log Functions Anything Goes $ 100 $ 200 $ 300 $ 400 $ 500.

What is the domain and range of

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$ 300Log Functions

Page 38: Begin Game. $ 100 $ 200 $ 300 $ 400 $ 500 PolynomialsRational Functions Exponential Functions Log Functions Anything Goes $ 100 $ 200 $ 300 $ 400 $ 500.

The domain is (-1,infinity)

The range is all real numbers

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$ 300Log Functions

Page 39: Begin Game. $ 100 $ 200 $ 300 $ 400 $ 500 PolynomialsRational Functions Exponential Functions Log Functions Anything Goes $ 100 $ 200 $ 300 $ 400 $ 500.

Main Board Answer

$ 400

Find the function

Whose graph is given

Log Functions

Page 40: Begin Game. $ 100 $ 200 $ 300 $ 400 $ 500 PolynomialsRational Functions Exponential Functions Log Functions Anything Goes $ 100 $ 200 $ 300 $ 400 $ 500.

The answer is:

Main Board Question

$ 400Log Functions

Page 41: Begin Game. $ 100 $ 200 $ 300 $ 400 $ 500 PolynomialsRational Functions Exponential Functions Log Functions Anything Goes $ 100 $ 200 $ 300 $ 400 $ 500.

Main Board Answer

$ 500

Find the inverse of

Log Functions

Page 42: Begin Game. $ 100 $ 200 $ 300 $ 400 $ 500 PolynomialsRational Functions Exponential Functions Log Functions Anything Goes $ 100 $ 200 $ 300 $ 400 $ 500.

The answer is:

Main Board Question

Log Functions $ 500

Page 43: Begin Game. $ 100 $ 200 $ 300 $ 400 $ 500 PolynomialsRational Functions Exponential Functions Log Functions Anything Goes $ 100 $ 200 $ 300 $ 400 $ 500.

Anything Goes

Expand the following using the laws of logarithms

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The answer is:

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Anything Goes $ 100

Page 45: Begin Game. $ 100 $ 200 $ 300 $ 400 $ 500 PolynomialsRational Functions Exponential Functions Log Functions Anything Goes $ 100 $ 200 $ 300 $ 400 $ 500.

Anything Goes

Combine the following using the laws of logarithms

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The answer is:

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Anything Goes $ 200

Page 47: Begin Game. $ 100 $ 200 $ 300 $ 400 $ 500 PolynomialsRational Functions Exponential Functions Log Functions Anything Goes $ 100 $ 200 $ 300 $ 400 $ 500.

Anything Goes

Express the following in the form a + bi

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Page 48: Begin Game. $ 100 $ 200 $ 300 $ 400 $ 500 PolynomialsRational Functions Exponential Functions Log Functions Anything Goes $ 100 $ 200 $ 300 $ 400 $ 500.

The answer is:

Main Board Question

Anything Goes $ 300

Page 49: Begin Game. $ 100 $ 200 $ 300 $ 400 $ 500 PolynomialsRational Functions Exponential Functions Log Functions Anything Goes $ 100 $ 200 $ 300 $ 400 $ 500.

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

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$ 400

Page 50: Begin Game. $ 100 $ 200 $ 300 $ 400 $ 500 PolynomialsRational Functions Exponential Functions Log Functions Anything Goes $ 100 $ 200 $ 300 $ 400 $ 500.

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.)

Page 51: Begin Game. $ 100 $ 200 $ 300 $ 400 $ 500 PolynomialsRational Functions Exponential Functions Log Functions Anything Goes $ 100 $ 200 $ 300 $ 400 $ 500.

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:

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$ 500

Page 52: Begin Game. $ 100 $ 200 $ 300 $ 400 $ 500 PolynomialsRational Functions Exponential Functions Log Functions Anything Goes $ 100 $ 200 $ 300 $ 400 $ 500.

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


$100 $200 $300 $400 $500 $200 $300 $400 $500 $200 $300 $400 $500 $200 $300 $400 $500 $200 $300 $400 $500 $200 $300 $400 $500 OTHEROTHER IICAUSESPEOPLEBATTLES.

$100 $200 $300 $400 $500 $200 $300 $400 $500 $200 $300 $400 $500 $200 $300 $400 $500 $200 $300 $400 $500 $200 $300 $400 $500 OTHEROTHER IICAUSESPEOPLEBATTLES.

100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Exponential & Logarithmic Functions Rational Equations & Functions Conic Sections.

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System and Standard Functions for S7-300 and S7-400

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Siemens Simatic S 7 300 - 400 -System and Standard Functions for S7-300 and S7-400

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Jeopardy $100 Ecosystems Structures and functions Of Living organisms Genetics Evolution Matter Properties and changes $200 $300 $400 $500 $400 $300 $200.

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System Software for S7-300/400 and Standard Functions and... · for S7-300/400 System ... refer to the manual: "S7-400/M7-400 Programmable Controllers Module ... Siemens offers a

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ETA C and D - KSB 650 450 155 230 150 160 247 170 170 160 170 250 180 220 245 180 210 300 300 300 300 300 300 300 300 400 400 300 400 400 400 400 400 400 300 300 300 300 300 300 300

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System Software for S7 300 and 400 System and Standard Functions

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