1. The amount M (in trillions of dollars) of mortgage debt outstanding in the United States from 1990 through 2009 can be approximated by the function M represents the year 1990. (a) Describe the transformation of the common function f(x) = x². Then sketch the graph over the interval 0 sts 19. f(t) = 0.0037(t + 14.979), where t = 0 (b) Rewrite the function so that t 0 represents the year 2000. Explain how you got your answer. (c) Use the model from part (b) to predict the mortgage debt in the year 2014.

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ISBN:9781938168383
Author:Jay Abramson
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Chapter3: Functions
Section3.4: Composition Of Functions
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1. The amount M (in trillions of dollars) of mortgage debt outstanding in the United States from 1990
through 2009 can be approximated by the function M = f(t) = 0.0037(t + 14.979), where t = 0
represents the year 1990.
(a) Describe the transformation of the common function f(x) = x. Then sketch the graph over
the interval 0 sts 19.
(b) Rewrite the function so that t = 0 represents the year 2000. Explain how you got your answer.
(c) Use the model from part (b) to predict the mortgage debt in the year 2014.
JUL
Transcribed Image Text:allor 1. The amount M (in trillions of dollars) of mortgage debt outstanding in the United States from 1990 through 2009 can be approximated by the function M = f(t) = 0.0037(t + 14.979), where t = 0 represents the year 1990. (a) Describe the transformation of the common function f(x) = x. Then sketch the graph over the interval 0 sts 19. (b) Rewrite the function so that t = 0 represents the year 2000. Explain how you got your answer. (c) Use the model from part (b) to predict the mortgage debt in the year 2014. JUL
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