Let f(x) be a function representing how many people in a certain city are “x” years old. a. Interpret the expression f(45) = 1000. Hint: this is telling us that x=45 and f(x)=1000. Your answer should include the values 45 and 1000, and it should tell me what they mean in terms of years and number of people. b. Interpret the expression (in picture below).  Your answer should include the values 32, 45, and 10,000, and it should tell me what they mean in terms of years and number of people. c. If f'(45) > 0, does that mean there are more or less people who are 46 than who are 45?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 44RE
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Let f(x) be a function representing how many people in a certain city are “x” years old.


a. Interpret the expression f(45) = 1000. Hint: this is telling us that x=45 and f(x)=1000.
Your answer should include the values 45 and 1000, and it should tell me what they
mean in terms of years and number of people.


b. Interpret the expression (in picture below).  Your answer should include the values 32, 45, and 10,000, and it should tell me what they mean in terms of years and number of people.


c. If f'(45) > 0, does that mean there are more or less people who are 46 than who are
45?

45
f(x) dx = 10,000
30
Transcribed Image Text:45 f(x) dx = 10,000 30
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