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 < t < 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

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.5: Transformation Of Functions
Problem 4SE: When examining the formula of a function that is the result of multiple transformations, how can you...
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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 < t < 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

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