-10 69°F 5 10 5 O -5 -10 Evaluate lim f(x), lim f(x), and lim f(x). X→ -6 x → - 2 X→ 4 5 10

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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-10
-5
69°F
Sunny
10
50
-5
-10
Evaluate lim f(x), lim f(x), and lim f(x).
X→ -6
x → - 2
x → 4
5
10
OL
X
Transcribed Image Text:-10 -5 69°F Sunny 10 50 -5 -10 Evaluate lim f(x), lim f(x), and lim f(x). X→ -6 x → - 2 x → 4 5 10 OL X
Consider the following function:
√√√x ² + 7 if x ≤ 3
=(x-1)² ifx>3
f(x) =
Determine if f(x) is continuous at x = 3. If not, select the option with the
correct reasoning as to why not.
a.) Not continuous at x = 3 because f(3) is undefined
O
b.) Continuous at x = 3
c.) Not continuous at x = 3 because lim f(x) does not exist
O
x →3
d.) Not continuous at x = 3 because lim f(x) = f(3)
x →3
69°F
Sunny
OL
Transcribed Image Text:Consider the following function: √√√x ² + 7 if x ≤ 3 =(x-1)² ifx>3 f(x) = Determine if f(x) is continuous at x = 3. If not, select the option with the correct reasoning as to why not. a.) Not continuous at x = 3 because f(3) is undefined O b.) Continuous at x = 3 c.) Not continuous at x = 3 because lim f(x) does not exist O x →3 d.) Not continuous at x = 3 because lim f(x) = f(3) x →3 69°F Sunny OL
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