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13 II. Range: (00,2] III. Increasing: -4 -2 Decreasing: (-3,-1) U (0, 2) -1 t0,3)U(-40JU(2, 0) Local minimum(s): IV. Local maximum(s): f(1)=1 f(2)=2 f(-3) =-1 flo) = -1 V. Concave up: Concave down: (-4, -2) U(-1, 0) (-00,-1) U(-3-1)U(0, 2) v(2p) Inflection point(s): (-4,0),(-2 VI. The function is not continuous at what x-values(s)? VII. The function is not differentiable at what x-values(s)? VIII. Determine the following limits (use co or -o when appropriate, and write DNE if the does not exist): a) lim f(x) b) lim f(x) ズ→0- c) lim f(x) ズ→0 ズ→0 d) lim f(x) e) lim f(x) f) lim f(x) ズ→2 ズ→ーの ズ→ー2 g) lim f(x) h) lim f(x) i) lim f(x) ズ→-1 ズ→ー4 ズ→ IX. Circle the correct answer below. f"(-3) f(-4) f'(1) f'(-5) f"(-5) f'(-4)

13 II. Range: (00,2] III. Increasing: -4 -2 Decreasing: (-3,-1) U (0, 2) -1 t0,3)U(-40JU(2, 0) Local minimum(s): IV. Local maximum(s): f(1)=1 f(2)=2 f(-3) =-1 flo) = -1 V. Concave up: Concave down: (-4, -2) U(-1, 0) (-00,-1) U(-3-1)U(0, 2) v(2p) Inflection point(s): (-4,0),(-2 VI. The function is not continuous at what x-values(s)? VII. The function is not differentiable at what x-values(s)? VIII. Determine the following limits (use co or -o when appropriate, and write DNE if the does not exist): a) lim f(x) b) lim f(x) ズ→0- c) lim f(x) ズ→0 ズ→0 d) lim f(x) e) lim f(x) f) lim f(x) ズ→2 ズ→ーの ズ→ー2 g) lim f(x) h) lim f(x) i) lim f(x) ズ→-1 ズ→ー4 ズ→ IX. Circle the correct answer below. f"(-3) f(-4) f'(1) f'(-5) f"(-5) f'(-4)

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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VI through IX?
Name: DenditAAy nopun Properties of Elementary Functions Calculus I Properties of Power Functions Zero-Power Rule: Negative-Power Rule: II. Range: (00,2] III. Increasing: -3 -2 -1 Decreasing: (-3,-1) U (0, 2) -1 t00,-3) U (40)U(2, 00) Local minimum(s): IV. Local maximum(s): -2 - f(1)=1 f(2)=2 f(-3)=-1 flo)=-1 V. Concave up: Concave down: Inflection point(s): (-4, -2) U (-1, 0) (-0,-4) U (-2-1)U(0,2lv(2) (-4,0),(-,0), E1,1)}(0,-U VI. The function is not continuous at what x-values(s)? VII. The function is not differentiable at what x-values(s)? VIII. Determine the following limits (use ∞ or -o when appropriate, and write DNE if the limit does not exist): a) lim f(x) b) lim f(x) ズ→0- c) lim f (x) x-0 d) lim f(x) e) lim f(x) f) lim f (x) x-2 g) lim f(x) h) lim f(x) i) lim f(x) X--1 ズ→ー4 448 IX. Circle the correct answer below. f"(-3) + f(-4) f'(1) f'(-5) f"(-5) f'(-4)
Transcribed Image Text:Name: DenditAAy nopun Properties of Elementary Functions Calculus I Properties of Power Functions Zero-Power Rule: Negative-Power Rule: II. Range: (00,2] III. Increasing: -3 -2 -1 Decreasing: (-3,-1) U (0, 2) -1 t00,-3) U (40)U(2, 00) Local minimum(s): IV. Local maximum(s): -2 - f(1)=1 f(2)=2 f(-3)=-1 flo)=-1 V. Concave up: Concave down: Inflection point(s): (-4, -2) U (-1, 0) (-0,-4) U (-2-1)U(0,2lv(2) (-4,0),(-,0), E1,1)}(0,-U VI. The function is not continuous at what x-values(s)? VII. The function is not differentiable at what x-values(s)? VIII. Determine the following limits (use ∞ or -o when appropriate, and write DNE if the limit does not exist): a) lim f(x) b) lim f(x) ズ→0- c) lim f (x) x-0 d) lim f(x) e) lim f(x) f) lim f (x) x-2 g) lim f(x) h) lim f(x) i) lim f(x) X--1 ズ→ー4 448 IX. Circle the correct answer below. f"(-3) + f(-4) f'(1) f'(-5) f"(-5) f'(-4)
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