Exponential and Logarithmic Functions Exercises

Example 1

Write an exponential function of continuous growth, with an initial amount of 120 and an annual growth rate of 7%.

Hint

Use the shampoo equation. Write this function in the form of f(x) = Pe^rt. Remember the initial amount is P.

Example 2

Find f(5) in the function f(x) = 120e^0.07t.

Hint

Easy sauce. Substitute a 5 in for the t.

Example 3

What famous limit does the e^x represent?

Hint

It was math's old friend, Euler.

Example 4

What type of growth does the e^x function represent?

Hint

There are no coffee breaks.

Example 5

Find the population of The Shmoop Coop, a large free-range chicken house that starts with a meager 50,000 chickens and has continuous growth rate of 12% over a period of 2 years.

Hint

The initial population is 50000 and the rate is 0.12 (use the PERT equation).

Exponential and Logarithmic Functions Exercises

Example 1

Example 2

Example 3

Example 4

Example 5

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