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
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
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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