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Unformatted text preview: MATH 110 BUSINESS CALCULUS CHAPTER 2 NONLINEAR MODELS Section 2.2 Exponential Functions and Model 1. Compute the missing values in the following table: X
f(x) ‐3 ‐2 ‐1 0 1 2 3 x
(a) f ( x) = 3 (b) f ( x) = 2 −x +1 () −x
(c) f ( x) = −2 3 2. The values of two functions, f and g, are given in a table. One, both, or neither of them may be exponential. Decide which, if any, are exponential, and give the exponential models for those that are. x
g(x) ‐2 1 2
3 ‐1 0 1 2 1 2 4 8 0 −1 0 3 x
3. Model the data using an exponential function f ( x) = Ab . x
f(x) 0 90 1
10 4. Find the equation for an exponential function that passes through the pairs of points given. Through (1, 2 ) and ( 4, 6 ) . rt
5. Obtain an exponential function in the form f ( x) = Ae . f(x) is the value after t years of a $2000 investment earning 5.3% interest compounded continuously. 6. A bacteria culture starts with 1000 bacteria. Two hours later there are 1500 bacteria. Find an exponential model for the size of the culture as a function of time in hours, and use the model to predict how many bacteria there will be after two days. 7. Soon after taking an aspirin, a patient has absorbed 300 mg of the drug. If the amount of aspirin in the bloodstream decays exponentially, with half being removed every two hours, find the amount of aspirin in the bloodstream after five hours. ...
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This note was uploaded on 10/19/2011 for the course MATH 110 taught by Professor Staff during the Spring '11 term at S.F. State.
- Spring '11