(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)?
(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)?
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 ( a & b ) accurate and exact with complete solution. It's very important for me. I'll rate it up if accurate. Thanks
![(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)?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcdea5aeb-1109-4da8-b2f2-b35993e59585%2F3dae715c-5446-47e1-a9da-7437f8f77b14%2F9sowu1q_processed.jpeg&w=3840&q=75)
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)?
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 = S'(x)= () or undef.
•f' A's from +>-Of max
•f' A's from -→+eƒ min
• f(x) concave up f' increasing f">0
• f(x) concave down f' decreasing f" <0
• f(x) has an inflection point S"=0 or und.
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