E Copy of Motion Checi xe DeltaMathAA Math 4 - Fall 2021-20 xdi Meeting | Microso xE Untitled document - CXO Practice | CK-12 Four->A deltamath.com/app/student/solve/13950945/custom1630682784263AppsA WSFCS BookmarksC Log in to CleverThe graph of y = f(x) is graphed below. What is the end behavior of f (x)?30000200001do00-10-8-210-10000-20000-30000O as x → -∞, f(x) → –∞ and as x →∞, f (x) → ∞as x → -0, f (x) → -∞ and as x → ∞, f(x) → -as x → -0, f (x) → ∞ and as x 0, f (x) → ∞as x → -0, f(x) → 0 and as x oo, f(x) → -∞Submit AnswerDIIDDD00D00FB30F7F6F5F4F3escF2F1&%232489@567234QWER

Given: The graph of the function y=fx is To find: The end behavior of fx.

The graph of y = f(x) is graphed below. What is the end behavior of f (x)? 30000 20000 10000 -10 -8 -6 -2 8. 10 -10000 -20000 -30000 as x -o, f (x) → -0o and as x → 0, f(x) → 00 as x → -00, f(x) → -∞ and as x → 0, f(x) → –∞ as x → -00, f(x) → ∞ and as x → 0, f(x) → ∞ as z -00, f (x) → ∞ and as x → 00, f(x) –→-∞

The graph of y = f(x) is graphed below. What is the end behavior of f (x)? 30000 20000 10000 -10 -8 -6 -2 8. 10 -10000 -20000 -30000 as x -o, f (x) → -0o and as x → 0, f(x) → 00 as x → -00, f(x) → -∞ and as x → 0, f(x) → –∞ as x → -00, f(x) → ∞ and as x → 0, f(x) → ∞ as z -00, f (x) → ∞ and as x → 00, f(x) –→-∞

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

Section5.1: Logistic Functions

Problem 20E: Modeling Human Height with a Logistic Function A male child is 21inches long at birth and grows to...

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Long-Term Data and the Carrying Capacity This is a continuation of Exercise 13. Ideally, logistic data grow toward the carrying capacity but never go beyond this limiting value. The following table shows additional data on paramecium cells. t 12 13 14 15 16 17 18 19 20 N 610 513 593 557 560 522 565 517 500 a. Add these data to the graph in part b of Exercise 13. b. Comment on the relationship of the data to the carrying capacity. Paramecium Cells The following table is adapted from a paramecium culture experiment conducted by Cause in 1934. The data show the paramecium population N as a function of time t in days. T 2 3 5 6 8 9 10 11 N 14 34 94 189 330 416 507 580 a. Use regression to find a logistic model for this population. b. Make a graph of the model you found in part a. c. According to the model you made in part a, when would the population reach 450?
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?
Eastern Pacific Yellowfin Tuna Studies to fit a logistic model to the Eastern Pacific yellowfin tuna population have yielded N=1481+36e2.61t where t is measured in years and N is measured in thousands of tons of fish. a. What is the r value for the Eastern Pacific yellowfin tuna? b. What is the carrying capacity K for the Eastern Pacific yellowfin tuna? c. What is the optimum yield level? d. Use your calculator to graph N versus t. e. At what time was the population growing the most rapidly?
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?
Recall that the general form of a logistic equation for a population is given by P(t)=c1+aebt , such that the initial population at time t=0 is P(0)=P0. Show algebraically that cP(t)P(t)=cP0P0ebt .
Population of Foxes A breeding group of foxes is introduced into a protected area and exhibits logistic population growth. After t years, the number of foxes is given by N(t)=37.50.25+0.76tfoxes. a. Make a graph of N versus t covering the first 20 years. b. Calculate N(9) and explain in practical terms what your answer means. c. For what values of t is the graph concave up? For what values is it concave down? d. What is the carrying capacity the limiting value of N?