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Unformatted text preview: (c) As x → ∞ which function(s) approach ∞ ? Solutions. (a) The only function that approaches 0 as x → ∞ is g ( x ). (b) The only function that approaches 0 as x → ∞ is f ( x ). (c) There are two functions that approach ∞ as x → ∞ and those are f ( x ) and h ( x ). 4. For an exponential function, f ( x ) = C · a x , where x is measured in months and f (2) = 13 and f (11) = 48 . Find (a) The 9month growth factor. (b) The monthly growth factor. Solutions. (a) The 9month growth factor happens over the 9 month period x = 2 to x = 11, which we have values for. So we see that a 9 months = 48 13 ≈ 3 . 69 . (b) To ﬁnd the one month growth factor we have that a 1 month = ( a 9 months ) 1 / 9 ≈ (3 . 69) 1 / 9 ≈ 1 . 16 ....
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 Fall '08
 HITCHCOCK
 Math, Derivative, 9month growth factor, bad problem

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