Given f(x) = 3x²-3x+12 A) Find f(x + h) and SIMPLIFY. f(x + h) = B) Find f(x+h)-f(x) and SIMPLIFY. f(x+h)-f(x) = C) Find f(x+h)-f(x) h f(x+h)-f(x) h D) Find lim h→0 lim h→0 and SIMPLIFY. f(x+h)-f(x) h f(x+h)-f(x) h E) Evaluate f'(3) and SIMPLIFY. This is f'(x). = f'(3) =

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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Given f(x) = 3x²-3x+12
A) Find f(x + h) and SIMPLIFY.
f(x + h) =
B) Find f(x +h)-f(x) and SIMPLIFY.
f(x+h)-f(x) =
f(x+h)-f(x)
h
C) Find
f(x+h)-f(x)
h
D) Find lim
h→0
lim
h→0
and SIMPLIFY.
||
f(x+h)-f(x)
h
E) Evaluate f'(3)
f(x+h)-f(x)
h
and SIMPLIFY. This is f'(x).
||
f(3) =
Transcribed Image Text:Given f(x) = 3x²-3x+12 A) Find f(x + h) and SIMPLIFY. f(x + h) = B) Find f(x +h)-f(x) and SIMPLIFY. f(x+h)-f(x) = f(x+h)-f(x) h C) Find f(x+h)-f(x) h D) Find lim h→0 lim h→0 and SIMPLIFY. || f(x+h)-f(x) h E) Evaluate f'(3) f(x+h)-f(x) h and SIMPLIFY. This is f'(x). || f(3) =
The graph shows the number of trips taken annually on a certain state's mass
transportation system. Find the average rate of change of the number of trips
from 1992 to 1995, from 1995 to 2000, and from 1992 to 1998.
10-
9-
8-
Annual Trips on a State's Mass
Transportation System
8.6 million
1992
7.7 million
1994
9.9 million
8.8 million
1996 1998 2000
Q
The average rate of change from 1992 to 1995 is
(Round to three decimal places as needed.)
million per year.
Transcribed Image Text:The graph shows the number of trips taken annually on a certain state's mass transportation system. Find the average rate of change of the number of trips from 1992 to 1995, from 1995 to 2000, and from 1992 to 1998. 10- 9- 8- Annual Trips on a State's Mass Transportation System 8.6 million 1992 7.7 million 1994 9.9 million 8.8 million 1996 1998 2000 Q The average rate of change from 1992 to 1995 is (Round to three decimal places as needed.) million per year.
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