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Draw a function f(x) with f(0)=-1, and f'(x)=2 for all x-values on the interval [0, 3]. What is the value (а) of f(3)? (b) Consider a function f(x) with f(0) =b, and f'(x)= a for all x-values on the interval [0, c]. What is the value of f(c)?

Draw a function f(x) with f(0)=-1, and f'(x)=2 for all x-values on the interval [0, 3]. What is the value (а) of f(3)? (b) Consider a function f(x) with f(0) =b, and f'(x)= a for all x-values on the interval [0, c]. What is the value of f(c)?

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Please solve both sub-parts accurate and exact ( a and b) sub-parts ok thanks. I'll rate it up if accurate ok

You may find these FACTS helpful during the lab: • S(x) >0=f(x) is increasing • S(x) <0==f(x) is decreasing • S(x) has a max or min f(x)%3D0 or undef. •f'A's from +→-of max •f' A's from-→+of min f(x) concave up f' increasing f">0 S(x) concave down f' decreasing f" <0 • f(x) has an inflection point f"= 0 or und. %3D
Transcribed Image Text:You may find these FACTS helpful during the lab: • S(x) >0=f(x) is increasing • S(x) <0==f(x) is decreasing • S(x) has a max or min f(x)%3D0 or undef. •f'A's from +→-of max •f' A's from-→+of min f(x) concave up f' increasing f">0 S(x) concave down f' decreasing f" <0 • f(x) has an inflection point f"= 0 or und. %3D
(а) Draw a function f(x) with f(0)=-1, and f'(x)=2 for all x-values on the interval [0, 3]. What is the value of f(3)? (b) Consider a function f(x) with f(0) =b, and f'(x)= a for all x-values on the interval [0, c]. What is the value of f(c)?
Transcribed Image Text:(а) Draw a function f(x) with f(0)=-1, and f'(x)=2 for all x-values on the interval [0, 3]. What is the value of f(3)? (b) Consider a function f(x) with f(0) =b, and f'(x)= a for all x-values on the interval [0, c]. What is the value of f(c)?
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