LOG AND EXPONENTIAL REVIEW QUESTIONS (EXAM TYPE)1. Given function f, defined by the rule f (x) = a (c) bx + kFunction fis represented in the Cartesian plane below.fXWhich of the following is a possible rule for the given function?A) f(x)=-3(2)x+6 C) f(x)=-3(2)* +6B) f(x)=3(2)x+6 D) f(x)=3(2)* +6

Given that, the function f is defined by the rule f(x)=acbx+k From the given graph , we can see…

Answered: 1. Given function f, defined by the…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.1: Systems Of Equations

Problem 50E

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Growth of North Sea Sole The length of North Sea sole, a species of fish, can be determined using the von Bertalanffy model by the formula L=14.819.1060.631t. Here t is age, in years, and L is length, in inches. a. Make a graph L versus t. Include values of t from 1 to 10 years. b. Use functional notation to express the length of a 4-year-old sole, and that calculate that value. c. At what age will a sole be 10 inches long? d. What is the limiting length for a North Sea sole?
Colonial Population The table shows the colonial population estimates of the American colonies for each decade from 1700 through 1780. Let y represent the population in the year t, with t=0 corresponding to 1700. (a) Use the regression feature of a graphing utility to find an exponential model for the data. (b) Use the regression feature of the graphing utility to find a quadratic model for the data. (c) Use the graphing utility to plot the data and the models from parts (a) and (b) in the same viewing window. (d) Which model is a better fit for the data? Would you use this model to predict the population of the United States in 2020? Explain your reasoning.
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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1. Given function f, defined by the rule f (x) = a (c) bx + k Function fis represented in the Cartesian plane below. y f X Which of the following is a possible rule for the given function? A) f(x)=-3(2)x+6 C) f(x)=-3(2)* +6 B) f(x)=3(2)x+6 D) f(x)=3(2)* +6 I