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) =
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...
Related questions
Question

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) =

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.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 7 steps

Recommended textbooks for you

Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning

Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON

Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON

Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning

Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON

Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON

Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman


Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning