35 30 25 20 15 10 5 f(x) g(x) 0 0 1 3 4 5 6 7 Which statement BEST explains the behavior of the graphs of the functions as x increases? O f(x) eventually exceeds g(x) because the rate of change of f(x) decreases as x increases, whereas the rate of change of g(x) is constant. O f(x) eventually exceeds g(x) because the rate of change of g(x) decreases as x increases, whereas the rate of change of f(x) is constant. O g(x) eventually exceeds f(x) because the rate of change of f(x) increases as x increases, whereas the rate of change of g(x) is constant. O g(x) eventually exceeds f(x) because the rate of change of g(x) increases as x increases, whereas the rate of change of f(x) is constant.

35 30 25 20 15 10 5 f(x) g(x) 0 0 1 3 4 5 6 7 Which statement BEST explains the behavior of the graphs of the functions as x increases? O f(x) eventually exceeds g(x) because the rate of change of f(x) decreases as x increases, whereas the rate of change of g(x) is constant. O f(x) eventually exceeds g(x) because the rate of change of g(x) decreases as x increases, whereas the rate of change of f(x) is constant. O g(x) eventually exceeds f(x) because the rate of change of f(x) increases as x increases, whereas the rate of change of g(x) is constant. O g(x) eventually exceeds f(x) because the rate of change of g(x) increases as x increases, whereas the rate of change of f(x) is constant.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter5: A Survey Of Other Common Functions

Section5.3: Modeling Data With Power Functions

Problem 8E: Growth Rate Versus Weight Ecologists have studied how a populations intrinsic exponential growth...

See similar textbooks

Similar questions

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.
What is the y -intercept of the logistic growth model y=c1+aerx ? Show the steps for calculation. What does this point tell us about the population?
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.
Growth Rate Versus Weight Ecologists have studied how a populations intrinsic exponential growth rate r is related to the body weight W for herbivorous mammals. In table 5.2, W is the adult weight measured in pounds, and r is growth rate per year. Animal Weight W r Short-tailed vole 0.07 4.56 Norway rat 0.7 3.91 Rue deer 55 0.23 White-tailed deer 165 0.55 American elk 595 0.27 African elephant 8160 0.06 Find a formula that models r as a power function of W, and draw a graph of this function.