5. Use the graph of y = f(x) below to answer parts a and b. If an answer does not exist, write DNE and if an answer exists but is not an exact integer, round it to 1 decimal place. a. Fill in the blank: i. ii. iii. iv. lim f(x) = x4-2 lim f(x) = x-0 lim f(x) = x-3 lim f(x) = X-4 b. At what values of x is the graph discontinuous?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 41E
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Question
Can you please help me solve question 5. I’m really struggling. It has a part a and a part b.
iii.
f(x+h)-f(x) =
h
=7 5x² +10th +54²³ +7x + 7h - <5t²_7µ*
h
=> 10th +54² +7h
h
=7 [10x +55+7]
5. Use the graph of y = f(x) below to answer parts a and b. If an answer does not exist, write DNE and if an answer
exists but is not an exact integer, round it to 1 decimal place.
a.
Fill in the blank:
i.
ii.
iii.
iv.
=7/10x+ 5h+7)
lim f(x) =
x--2
(5+² +10th +5h² +7x +7h-2)-(Sx²+ 7x-2)
lim f(x) =
x→0
lim f(x) =
x→3
lim f(x) =
x4
b. At what values of x is the graph discontinuous?
6. Evaluate each limit:
a. lim(x² - 5x + 8)
x-22
27 (2) -5627 +8
=74-10 +8
=74-2
= [2]
=7X(X+5)
=7 +5
=15
b. lim (x²+5x)
x-0
X-2
+² +4x-12
(x-2)(x+6)
x+6
-c. lim
=7
x-2
x²+4x-12
2+6
#
Names
Transcribed Image Text:iii. f(x+h)-f(x) = h =7 5x² +10th +54²³ +7x + 7h - <5t²_7µ* h => 10th +54² +7h h =7 [10x +55+7] 5. Use the graph of y = f(x) below to answer parts a and b. If an answer does not exist, write DNE and if an answer exists but is not an exact integer, round it to 1 decimal place. a. Fill in the blank: i. ii. iii. iv. =7/10x+ 5h+7) lim f(x) = x--2 (5+² +10th +5h² +7x +7h-2)-(Sx²+ 7x-2) lim f(x) = x→0 lim f(x) = x→3 lim f(x) = x4 b. At what values of x is the graph discontinuous? 6. Evaluate each limit: a. lim(x² - 5x + 8) x-22 27 (2) -5627 +8 =74-10 +8 =74-2 = [2] =7X(X+5) =7 +5 =15 b. lim (x²+5x) x-0 X-2 +² +4x-12 (x-2)(x+6) x+6 -c. lim =7 x-2 x²+4x-12 2+6 # Names
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