For Exercises 9-12, evaluate the functions at the given values of x. Round to 4 decimal places if necessary.()-9. f(x) = 510. g(x) = 711. h(x) =12. k(x) =a. f(-1)a. g(-2)a. h(-3)a. k(-3)b. g(5.9)c. g(VT)d. g(e)b. f(4.8)b. h(1.4)b. k(1.4)c. f(V2)d. f(T)c. h(V3)c. (V03)d. h(0.5e)d. h(0.57)

Solution:Given the following functionsTo find the values of x and round to 4 decimal places, if…

Answered: For Exercises 9-12, evaluate the…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter4: Exponential And Logarithmic Functions

Section: Chapter Questions

Problem 3CC: If xis large, which function grows faster, f(x)=2x or g(x)=x2?

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The number of daily users for Japan’s Line messaging service (in millions) can be approximated by the function g(x)=53.1+63.1ln(x) corresponds to the first quarter of 2013. Numbering quarters from that date, and assuming the model remains accurate, find the first full quarter in which the number of users exceeded 200 million.
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The U.S. Bureau of the Census prediction for the percentage of the population 65 years and older can be modeled as p(x) = −0.00022x3 + 0.014x2 − 0.0033x + 12.236 percent where x is the number of years since 2000, data from 0 ≤ x ≤ 50. 1. Determine the value of x in the domain 0 ≤ x ≤ 50 for which the percentage is predicted to be increasing most rapidly (Round your answer to three decimal places). 2. Thus, in which year is the percentage is predicted to be increasing most rapidly? 3. Calculate the percentage at that time. (Round your answer to two decimal places.) 4. Calculate the rate of change of the percentage at that time. (Round your answer to three decimal places.)
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