EXAMPLE 11 Drawing the Graph of a Logarithmic FunctionDraw the graph of the function y = x In(4 – x²), and use it to find the asymptotes%3Dand local maximum and minimum values.

Graph of the function is representation of the function of y-axes with respect to numbers in x-axes.…

Answered: EXAMPLE 11 Drawing the Graph of a…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.5: Properties Of Logarithms

Problem 52E

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A Population of Foxes A breeding group of foxes is introduced into a protected area, and the population growth follws a logistic pattern. After t years, the population of foxes is given by N=37.50.25+0.76t foxes. a. How many foxes were intorduced into the protected area? b. Make a graph of N versus t and explain in words how the populatoin of foxes increases with time. c. When will the fox population reach 100 individuals?
The natural logarithmic function f(x)=Inx has the ____________ asymptote x =____.
Modeling Human Height with a Logistic Function A male child is 21inches long at birth and grows to an adult height of 73inches. In this exercise, we make a logistic model of his height as a function of age. a. Use the given information to find K and b for the logistic model. b. Suppose he reaches 95 of his adult height at age 16. Use this information and that from part a to find r. Suggestion: You will need to use either the crossing-graphs method or some algebra involving the logarithm. c. Make a logistic model for his height H, in inches, as a function of his age t, in years. d. According to the logistic model, at what age is he growing the fastest? e. Is your answer to part d consistent with your knowledge of how humans grow?

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EXAMPLE 11 Drawing the Graph of a Logarithmic Function Draw the graph of the function y = x In(4 – x²), and use it to find the asymptotes %3D and local maximum and minimum values.