QUESTION 3State the family of functions the graph belongs to, then write a function to model the graph.20-1613-123-4.-1216-20C exponential, y = (10 - 4)*D logarithmic, y = 2(10)*%3DA exponential, y = 4(10)*%3D%3DB exponential, y = 10(4)xa)

Answered: State the family of functions the graph…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.3: Logarithmic Functions

Problem 5SE: Discuss the meaning ofthe natural logarithm. Whatis its relationship to a logarithm with base b,...

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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?
What type (s) of translation (s), if any, affect thedomain ofa logarithmic function?
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What type (s) of translation(s), if any, affect the range of a logarithmic function?
Discuss the meaning ofthe natural logarithm. Whatis its relationship to a logarithm with base b, andhow does the notation differ?

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State the family of functions the graph belongs to, then write a function to mo 30- 16 13 -8- 13 16- 20 A exponential, y = 4(10)* C exponential, y = (10 - D logarithmic, y = 2(10 %3D %3D 10(4)