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
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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Question
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)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9185171a-eb83-4ea1-8afb-5cafb26502ae%2Fd339bab2-93f7-44ef-a64f-b18d9c1ad163%2F7t21glj_processed.jpeg&w=3840&q=75)
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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