2. For the function y = f(x), the average rate of change from x = a to x = a + h is calculated as: f(h)-f(a) h f(a+h)-f(a) h A) B) lim h→0 A) lim h→a f(a+h)-f(a) h 3. For the function f(x), the instantaneous rate of change at x =a is calculated as: f(a+h)-f(a) f(a+h)-f(a) f(a+h)+ f(a) h h h B) lim h-a D) C) lim h→0 f(a)-f(b) a-b D) lim h→0 f(a+h)+f(a) h

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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2. For the function y = f(x), the average rate of change from x = a to x = a + his calculated as:
ƒ(h)-f(a)
h
f(a+h)-f(a)
h
D) f(a)-f(b)
a-b
A)
B) lim
h→0
A) lim
h→a
f(a+h)-f(a)
h
3. For the function f(x), the instantaneous rate of change at x = a is calculated as:
f(a+h)-f(a)
h
f(a+h)-f(a)
h
B) lim f(a+h)+ƒ(a)
h→a
h
C) lim
h→0
D) lim
h→0
f(a+h)+f(a)
h
Transcribed Image Text:2. For the function y = f(x), the average rate of change from x = a to x = a + his calculated as: ƒ(h)-f(a) h f(a+h)-f(a) h D) f(a)-f(b) a-b A) B) lim h→0 A) lim h→a f(a+h)-f(a) h 3. For the function f(x), the instantaneous rate of change at x = a is calculated as: f(a+h)-f(a) h f(a+h)-f(a) h B) lim f(a+h)+ƒ(a) h→a h C) lim h→0 D) lim h→0 f(a+h)+f(a) h
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