100 200 300 400 500 100 200 300 400 500 100 200 300 Exciting Exponentials Solve for x Y=x Lovely Logarithms Proper Properties 400 500 100 200 300 400.

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Presentation transcript:

Exciting Exponentials Solve for x Y=x Lovely Logarithms Proper Properties End RoundThemeFinal Jeopardy

Tell whether the function shows growth or decay: f(x)=1.5 x  Exciting Exponentials 100 Points 

Growth Exciting Exponential 100 Points

Exciting Exponentials 200 Points Tell whether the function shows growth or decay: f(x)=0.5 x  

Exciting Exponentials 200 Points decay

Exciting Exponentials 300 Points   Tell whether the function shows growth or decay: f(x)=30(0.8) x

Exciting Exponentials 300 Points decay

Exciting Exponentials 400 Points The value of Miss May’s Math-Mobile bought for $100 decreases by 2% every day. Write an exponential function that models the situation.  

Exciting Exponentials 400 Points y=100(.98) x

Exciting Exponentials 500 Points BHS decides to buy a school van for $12,000. It is such an awesome van that its value will increase by 14% each year. Estimate when the van will be $60,000.  

About years Exciting Exponentials 500 Points

True or False: A function and its inverse are reflected across the line y=x. y=x 100 Points  

True

Find the inverse function of f(x)=x+ 2/3 y=x 200 Points  

f -1 (x)= x- 2/3 y=x 200 Points

Find the inverse function of f(x)=5x-7 y=x 300 Points  

f -1 (x)= (x+7)/5

A theater sells tickets for $22. If you pay by credit card, the theater adds a service charge of $3.50 to the entire order. a)Write a function for the bill according to the number of tickets. b)Write the inverse function, and use it to find the number of tickets purchased when the bill is $ y=x 400 Points  

a) C = 22n b) n=(c-3.5)/22 8 tickets Y=x 400 Points

What is the inverse of y=2 x ? y=x 500 Points  

f -1 (x)= log 2 x

Solve without a calculator: Log 3 (1/9) Lovely Logarithms 100 Points  

-2

Solve without a calculator: log 4 64 Lovely Logarithms 200 Points  

3

Lovely Logarithms 300 Points   Solve without a calculator: Log0.001

Lovely Logarithms 300 Points -3

Solve with a calculator: log 7 18 Lovely Logarithms 400 Points  

About 1.485

Lovely Logarithms 500 Points   Solve with a calculator: Log 5 x=3.72

Lovely Logarithms 500 Points

Solve for x 100 Points Log 8 8 3x+1 = -2  

Solve for x 100 Points X= -1

Solve for x 200 Points   10 log2=x

Solve for x 200 Points X=2

Solve for x 300 Points   Log log 8 16=x

Solve for x 300 Points X=2

Solve for x 400 Points Log 2 32-log 2 4=x  

Solve for x 400 Points X=3

Log 3 (7x)=log 3 (2x+.5) Solve for x 500 Points  

x=0.1

Proper Properties 100 Points   Log log 4 5

Proper Properties 100 Points 3

Proper Properties 200 Points   log

Proper Properties 200 Points 12

Proper Properties 300 Points   Log x

Proper Properties 300 Points 7+ x

Proper Properties 400 Points  2.5 Log

Proper Properties 400 Points 19

Proper Properties 500 Points Log1000-log100  

1

Final Jeopardy Algebra

FINAL JEOPARDY   Miss May decides to put $1000 of her money earned from teaching you exponential functions in North Bank which gives her 3.2% interest compound continuously. What is the total amount after 2.5 years?

FINAL JEOPARDY $