Jeopardy Evaluating Functions Properties of Logarithms Conic Sections zeros Exponential Models Misc. Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy

$100 Question from Domain/Range Given f(x) = x 2 + 4, find f(a + 2)

$100 Answer from H1 f(a+2) = a 2 + 4a + 8

$200 Question from H1 Given f(x) = and g(x) = find (g/f)(x).

$200 Answer from H1

$300 Question from H1

$300 Answer from H1

$400 Question from H1 Confirm If the following functions are Inverses

$400 Answer from H1 Yes

$500 Question from H1 Given f(x) = x 3 – 2x 2 + 4, find f(x + a) – f(x)

$500 Answer from H1 f(x+a) – f(x) = 3x 2 a + 3xa 2 – 4xa + a 3

$100 Question from H2 Solve for x. 5 x = 7

$100 Answer from H2 X = 1.209

$200 Question from H2 Solve for x: ln (3x + 2) = 5

$200 Answer from H2 X =

$300 Question from H2 Evaluate the following logarithm:

$300 Answer from H2 X = 4

$400 Question from H2 Simplify: 5 log log x + 3 log y – 2 log 4

$400 Answer from H2 2x 2 y 3

$500 Question from H2 Simplify:

$500 Answer from H2 7 log y – 2 log x – 2 log z

$100 Question from H3 Write an equation of a parabola given a Vertex at (5, 1) and Focus (5, -3).

$100 Answer from H3

$200 Question from H3 Identify the vertex and directrix of: x = y 2 – 2y - 5

$200 Answer from H3 Vertex: (-6, 1) Directrix: x = -6.25

$300 Question from H3 Identify the coordinates of the foci of the ellipse:

$300 Answer from H3 (0, 5.196) (0, )

$400 Question from H3 Identify the coordinates of the vertices, foci, and any asymptotes of:

$400 Answer from H3 Vertices: (0, 5); (0, -5) Foci: (0, 6.403); (0, ) Asymptotes:

$500 Question from H3 Write an equation of a hyperbola given a Center at (4, -3), a = 8, c = 12, and a horizontal axis.

$500 Answer from H3

$100 Question from H4 Ms. Cubbatz invested a sum of money in a certificate of deposit that earns 8% interest compounded continuously. If Ms. Cubbatz made the investment on January 1, 2005, and the account was worth $12,000 on January 1, 2009, what was the original amount in the account?

$100 Answer from H4 $8,713.79

$200 Question from H4 The 2000 population of Jacksonville, Florida was 736,000 and was increasing at the rate of 1.49% each year. At this rate, when will the population be 1 million?

$200 Answer from H4 T = years, SO 2021

$300 Question from H4

$300 Answer from H years

$400 Question from H4 A local hospital is analyzing the rate of decay from the bacteria in a patient’s stomach. The initial amount of bacteria was 3.7 mm. The bacteria are decaying at a rate of 0.7%. The patient is permitted to go home when their bacteria level is at 3.3mm or less. What is the least amount of time in hours the patient will be in the hospital?

$400 Answer from H hours

$500 Question from H4 Charlotte and Raleigh have pest problems. The insects in Charlotte increase exponentially according to the equation y = 70,000e 0.12t. The insects in Raleigh increase exponentially according to the equation y = 110,000e 0.06t. When will the cities have an equal amount of insects?

$500 Answer from H4 T = years

$100 Question from H5 What is the domain and range of :

$100 Answer from H5

$200 Question from H5 Factor completely 8x x

$200 Answer from H5 x (2x+3) (4x 2 – 6x +9)

$300 Question from H5 Determine the Vertical Asymptotes of the function

$300 Answer from H5 x = -2, x = -1, x = 0

$400 Question from H5 Determine the zeroes of the function:

$400 Answer from H5 x = -2

$500 Question from H5 Using synthetic division, divide the polynomial x by (x – 2).

$500 Answer from H5

Final Jeopardy YearAIDS Cases , , , , ,171 Using Quadratic regression from the data, Predict the year when Aids cases reached 60,000, Let x= 0 stand for 1989 and so forth.

Final Jeopardy Answer 2008