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Unformatted text preview: Name: Worksheet 5 Due Monday March 21, 2011 Show all computations. Write neatly. Staple your work. 1. Determine whether each of the following statements is true or false. (a) If 0 < b < 1, then b 1 < 1 T F (b) If b > 0 then ln( b ) = ln(1 /b ). T F (c) ln(50) = 2ln(5) + ln(2) T F (d) 2 log 2 (5)+log 2 (6) = 30 T F 2. Write the general form of an exponential function. Be sure to explain the meaning of all symbols in your formula. 2 3. The following exponential function models a population of foxes t years after intro duction into a new environment. A ( t ) = 1500 1 3 2 t (a) What is the initial population? initial population (b) Rewrite the function so that the base is greater than 1. Be sure your answer is simplified. A ( t ) = (c) Determine, with explanation, whether the function represents exponential growth, exponential decay or neither. 3 (d) Graph the function on the given axes. Label at least two points on the graph. t A ( t ) 4. Determine, with explanation, whether each of the following exponential functions represents exponential growth or exponential decay. (a) The balance function t years after $ 1000 is deposited into an account paying 5% annual interest compounded monthly....
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 Spring '08
 Staff
 Exponential Function, Derivative, Exponentiation, Natural logarithm

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