JEOPARDY! Sequences & Series $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400.

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Presentation transcript:

JEOPARDY!

Sequences & Series $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Exponential Functions Polynomial Functions Rational Functions Limits GO TO FINAL JEOPARDY

RETURN TO JEOPARDY BOARD Seq.Series - $100 Determine the common ratio of the sequence: -3, 6, -12, 24, …

RETURN TO JEOPARDY BOARD Seq.Series - $200 Find the sum of an infinite sequence with A 1 = 3 and r = 2/3.

RETURN TO JEOPARDY BOARD Seq.Series - $300 If A 1 = 5 and A 4 = 13 are terms of an arithmetic sequence. Find A 31.

RETURN TO JEOPARDY BOARD Seq.Series - $400 Find the sum of the sequence 48, 24, 12, … ¾

RETURN TO JEOPARDY BOARD Seq.Series - $500 Determine the seating capacity of an auditorium with 36 rows of seats if there are 15 seats in the first row, 18 seats in the second row, 21 seats in the third row, and so on.

RETURN TO JEOPARDY BOARD Exp.Log - $100 Assume the half-life of a radioactive isotope is 10 years. How many grams of the isotope will remain after 15 years if the initial amount is 64 grams?

RETURN TO JEOPARDY BOARD Exp.Log - $200 Solve. log(x + 3) + logx = 1

RETURN TO JEOPARDY BOARD Exp.Log - $300 $1000 is deposited in an account that earns 4% APR compounded continuously. Write an equation that will predict how long it will take to accumulate $2500.

RETURN TO JEOPARDY BOARD Exp.Log - $400 Solve. 4 x – 7 = 1/32

RETURN TO JEOPARDY BOARD Exp.Log - $500 If a savings account pays 7.5% annual interest compounded quarterly, when will the balance triple?

RETURN TO JEOPARDY BOARD Func - $100 Identify whether the function f(x) = 1/x is even, odd, or neither.

RETURN TO JEOPARDY BOARD Func - $200 Determine the domain of f(x) = 10 + √x+3

RETURN TO JEOPARDY BOARD Func - $300 Find the inverse of f(x) = x 3 + 2

RETURN TO JEOPARDY BOARD Func - $400 Given f(x) = 3 – 2x 2 and g(x) = 1 - x, find (f◦g)(3).

RETURN TO JEOPARDY BOARD Func - $500 If f is a one-to-one function, then which of the following is true about f ? I.f -1 is a function II.f is an even function III.The graph of f passes the horizontal line test A. I onlyB. II only C. III onlyD. both I and III

RETURN TO JEOPARDY BOARD Poly - $100 Factor: 27x 3 + 8

RETURN TO JEOPARDY BOARD Poly - $200 Divide: (x 3 – x – 6)  (x – 2)

RETURN TO JEOPARDY BOARD Poly - $300 A ball is thrown into the air. It’s height above the ground in feet is given by h(t)= -16t t where t is time in seconds. When will the ball reach its maximum height above the ground?

RETURN TO JEOPARDY BOARD Poly - $400 Solve the inequality: x 3 + 7x 2 < 18x

RETURN TO JEOPARDY BOARD Poly - $500 The graph of f(x) = 5x 3 – 7x 2 – 49x + 51 is shown. Use the graph to completely factor f(x).

RETURN TO JEOPARDY BOARD Limits - $100 Using the graph below, which of the following statements are true? A.g(x) is continuous at x = 5 B. C. D.There is a removable discontinuity at x = 6 E.

RETURN TO JEOPARDY BOARD Limits - $200 Evaluate.

RETURN TO JEOPARDY BOARD Limits - $300 Find the value of k for the function below given f(x) is continuous.

RETURN TO JEOPARDY BOARD Limits - $400 Evaluate.

RETURN TO JEOPARDY BOARD Limits - $500 Evaluate.

RETURN TO JEOPARDY BOARD Rational - $100 Identify the end behavior asymptote of the function.

RETURN TO JEOPARDY BOARD Rational - $200 You have decided to throw a NCAA tournament party. The big screen rental is $170 and the cost for food and drinks is $4 per person. Since your parents are allowing you to have this party, you and the two of them should attend for free. If the most people are willing to pay is $10, how many people must attend (including you and your parents) so you don’t lose money.

RETURN TO JEOPARDY BOARD Rational - $300 Given the function What are the coordinates of the hole?

RETURN TO JEOPARDY BOARD Rational - $400 Solve the equation algebraically.

RETURN TO JEOPARDY BOARD Rational - $500 Solve the inequality. Write your answer in interval notation.

FINALJEOPARDY! FINALJEOPARDYCATEGORY A small llama farm can support no more than 35 llamas. The farm had 14 llamas when it started in By 2006, they had grown to 23 llamas. Assuming the population grows according to a logistic model, where t = 0 represents 1998, write a model to represent the farm’s llama population and find when they will reach 30 llamas.