JeopardyExponential Logarithms

Natural Logs

Compounding Inverses

Q $100

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Q $300 Q $300 Q $300 Q $300

Q $400 Q $400 Q $400 Q $400

Q $500 Q $500 Q $500 Q $500

Final Jeopardy

$100 Question from Exponential

In the equation, y=abx what does the “a” represent?

$100 Answer from Exponential

What you’re beginning with, The y-intercept (for most graphs)

$200 Question from Exponential

In the equation, y=abx what does the b represent?

$200 Answer from Exponential

The multiplication factor

$300 Question from Exponential

In the equation, y=10(5)x what is the “a” value and what does the “a” represent?

$300 Answer from Exponential

“a” value = 10, it represents what youare starting with.

$400 Question from Exponential

In the equation, y=4(6)x what is the “b” value and what does the “b” represent?

$400 Answer from Exponential

“b” value = 3, it represents the multiplication factor – each year, the equation is tripling.

$500 Question from Exponential

In the equation, y=3(2)x/5 what is the “x/5” tell you about this situation?

$500 Answer from Exponential

Every 5 years, the substance is doubling

$100 Question from Logarithms

What is the base in: log252

$100 Answer from Logarithms

2

$200 Question from Logarithms

Solve: log22=x

$200 Answer from Logarithms

X=1

$300 Question from Logarithms

Solve: logx8=3

$300 Answer from Logarithms

X=2

$400 Question from Logarithms

Solve: log5x=4

$400 Answer from Logarithms

X=54

$500 Question from Logarithms

Solve: log1323=x

$500 Answer from Logarithms

Log23/log13=x

$100 Question from Natural Logs

What is the base of all natural logs?

$100 Answer from Natural Logs

e

$200 Question from Natural Logs

Solve: lne4=x

$200 Answer from Natural Logs

4=x

$300 Question from Natural Logs

Solve: lnex=21

$300 Answer from Natural Logs

X=21

$400 Question from Natural Logs

Solve: ex=22

$400 Answer from Natural Logs

ln22=x

$500 Question from Natural Logs

What does lne equal?

$500 Answer from Natural Logs

1

$100 Question from Compounding

What is the equation for compounding quarterly?

$100 Answer from Compounding

A=P(1+ r/4)4t

$200 Question from Compounding

What is the initial amount invested for: A=2000(1+ 0.06/5)5(6)

$200 Answer from Compounding

$2000

$300 Question from Compounding

What is the interest rate for: A=2000(1+ 0.06/5)5(6)

$300 Answer from Compounding

6%

$400 Question from Compounding

What is the equation for continuous compounding?

$400 Answer from Compounding

A=Pert

$500 Question from Compounding

What must you start with to yield

$10,000 with an interest rate of 5%over 9 years compounded monthly?

$500 Answer from Compounding

P=10,000/(1+ 0.05/12)12(9)

$100 Question from Inverses

What is the notation for the inverseof f(x)?

$100 Answer from Inverses

f-1(x)

$200 Question from Inverses

What are the steps to findingan inverse function?

$200 Answer from Inverses

1. Replace f(x) with y2. Swap x and y3. Solve for y4. Replace y with f-1(x)

$300 Question from Inverses

What is the inverse of g(x)=2x+6?

$300 Answer from Inverses

g-1(x)=(x-6)/2

$400 Question from Inverses

What is the inverse to m(x)=log4x?

$400 Answer from Inverses

m-1(x)=4x

$500 Question from Inverses

What is the inverse to h(x)=5lnx?

$500 Answer from Inverses

h-1(x)=ex/5

Final Jeopardy

The man who made it didn’t want it, the manwho bought it didn’t need it, and the man who used it never knew he had it. What is it?

Final Jeopardy Answer

A coffin!