8. Without a calculator, match the functions y = 2, y = eX, y = 3", y = In x, y = log x with the graphs in Figure 5.14.%3DyA BCDEFigure 5.14

Without using a calculator, to match the functions, y=2x, y=e-x, y=3x, y=ln x, y=log x with the…

Answered: 8. Without a calculator, match the…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.8: Fitting Exponential Models To Data

Problem 15SE: What is the y -intercept on the graph of the logistic model given in the previous exercise?

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Similar questions

Does a linear, exponential, or logarithmic model best fit the data in Table 2? Find the model.
What does the y -intercept on the graph of a logistic equation correspond to for a population modeled by that equation?
Table 2 shows a recent graduate’s credit card balance each month after graduation. a. Use exponential regression to fit a model to these data. b. If spending continues at this rate, what will the graduate’s credit card debt be one year after graduating?
What is the y -intercept on the graph of the logistic model given in the previous exercise?
Suppose that a particular plot of land can sustain 500 deer and that the population of this particular species of deer can be modeled according to the logistic model as dPdt=0.2(1P500)P. Each year, a proportion of the herd deer is sold to petting zoos. a. Find the function that gives the equilibrium population for various proportions. b. Determine the maximum number of deer that should be sold to petting zoos each year. Hint: Find the maximum sustainable harvest
Recent data suggests that, as of 2013, the rate of growth predicted by Moore’s Law no longer holds. Growth has slowed to a doubling time of approximately three years. Find the new function that takes that longer doubling time into account.
Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to 2012. a. Let x represent time in years starting with x=0 for the year 1997. Let y represent the number of seals in thousands. Use logistic regression to fit a model to these data. b. Use the model to predict the seal population for the year 2020. c. To the nearest whole number, what is the limiting value of this model?
Use log21=0,log22=1, and log24=2 to estimate log23.

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8. Without a calculator, match the functions y = 2, y = e, y = 3, y = In x, y = log x with the graphs in Figure 5.14. А В Figure 5.14