Answer the following questions relating to f (x).What is the value of c?Hint: use the asymptote.What is the value of b?Hint: use the y-intercept.LOUSWhat is the value of a?Hint: use the point marked and give your answer correctly rounded to one decimal place.Thus, what is the equation for f(r)? Consider the following graph of exponential decay of the form f (x) = be-a + c for some b, c and a > 0.y=315-3Annivier the following c72.067.563.058.554.049.545.036.0-34.627.022.5VQ.5.18.013.59.04.5-1natione(0.36.0)23(2,31.834)56

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Answered: Answer the following questions relating…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section: Chapter Questions

Problem 18T

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Similar questions

In an exponential decay function, the base of theexponent is a value between 0 and 1. Thus, for somenumber b1, the exponential decay function canbe written as f(x)=a(1b)x. Use this formula, alongwith the fact that b=en, to show that an exponential decay function takes theform f(x)=a(e)nx for somepositive number n.
Suppose that the initial size of a population is n0 and the population grows exponentially. Let n(t) be the size of the population at time t. (a) Write a formula for n(t) in terms of the doubling time a. (b) Write a formula for n(t) in terms of the relative growth rate r.
Suppose that the initial mass of radioactive substance is m0 and the half-life of the substance is h. Let m(t) be the mass remaining at time t. a What is meant by the half-life h? b Write a formula for m(t) in terms of the half-life h. c Write a formula for the relative decay rate r in terms of the half-life h. d Write a formula for m(t) in terms of the relative decay rate r.
Suppose an investment account is opened with aninitial deposit of 10,500 earning 6.25 interest,compounded continuously. How much will theaccount be warm after 25 years?

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Answer the following questions relating to f (x). What is the value of c? Hint: use the asymptote. What is the value of b? Hint: use the y-intercept. What is the value of a? Hint: use the point marked and give your answer correctly rounded to one decimal place. Thus, what is the equation for f(r)?