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| Section | Objectives |
|---|---|
| Exponential and Logarithmic Concepts | - Exponential Functions
|
| Polynomial and Rational Expressions | - Polynomials
|
| Functions and Graphs | - Graphing Functions
|
| Linear Functions and Systems | - Linear Equations
|
| Foundations of Algebra | - Algebraic Expressions
|
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問題 #80
The number of members of a religious organization can be modeled using the logistic function f(x), where xrepresents the number of years since the organization was started and f(x)represents the number of members.
The graph of f(x)is shown.
What is one range of values for which the graph is concave down?
答案:A
解題說明:
The graph is a logistic growth curve.
A logistic growth curve has two main concavity regions:
" concave up before the inflection point "
and
" concave down after the inflection point "
From the graph, the function increases faster and faster until about:
x=6
After x=6, the graph continues increasing, but it begins to flatten out. That means the number of members is increasing slower and slower.
This is concave down behavior.
Therefore, one interval where the graph is concave down is:
(6#11)
So the correct answer is:
# ( " D " )
問題 #81
Based on collected data, the number of employees at a firm can be modeled using the function f(x)=10× # 1.09 #