Exponential Functions Unit

In the year 1900, the total number of metric tons of copper produced in the world was 495,000. Each year since 1900, the total number of metric tons of copper produced has increased on average by about 3.25% over the amount produced the previous year. Which function models the total number of metric tons of copper produced in the year that is x years since 1900?

• The initial number of bacteria is 12.

• The initial number of bacteria decreases at a rate of 88% each day.

• The number of bacteria increases at a rate of 12% each day.

• The number of bacteria at the end of one day is 245.

A particular type of cell doubles in number every hour. Which function can be used to find the number of cells present at the end of h hours if there are initially 4 of these cells?

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In 2000, there were 20 rabbits in Mendon Ponds Park. The population increased by 12% each year. a. Write an equation to represent this situation where x is the time in years since 2000 and y is the rabbit population. b. How many rabbits were there in Mendon Ponds Park in 2010?

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Graph y = 2^x on your graphing calculator and answer the questions below.

a. What is the domain?

b. What is the range?

c. Where is the graph increasing?

d. Where is the graph decreasing?

e. For what x-value(s) is y = 1024?

f. Is the graph a function?

g. Write the equation of the asymptote.

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Write the equation of the function represented by the table.

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Write the equation of the function represented by the table.

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The current student population of the Brentwood Student Center is 2,000. The enrollment at the center increases at a rate of 4% each year. To the nearest whole number, what will the student population be closest to in 3 years?

• 2,240

• 2,250

• 5,488

• 6,240