The graph of f(x) is given below. Select each true statement about the continuity of f(x) at x = 3. Select all that apply: 7 -6- 5 4 3 2 1- -7-6-5-4-3-2-1 1 2 3 4 5 6 7 +1 -2· 3. -4 -6- f(x) is not continuous at a = 3 because it is not defined at x = 3. ☐ f(x) is not continuous at a = - 3 because lim f(x) does not exist. 2-3 f(x) is not continuous at x = 3 because lim f(x) ‡ ƒ(3). →3 O f(x) is continuous at a = 3.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 48E
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The graph of f(x) is given below. Select each true statement about the continuity of f(x) at x = 3.
Select all that apply:
7
-6-
5
4
3
2
1-
-7-6-5-4-3-2-1 1 2 3 4 5 6 7
+1
-2·
3.
-4
-6-
f(x) is not continuous at a
=
3 because it is not defined at x = 3.
☐
f(x) is not continuous at a
=
- 3 because lim f(x) does not exist.
2-3
f(x) is not continuous at x = 3 because lim f(x) ‡ ƒ(3).
→3
O f(x) is continuous at a = 3.
Transcribed Image Text:The graph of f(x) is given below. Select each true statement about the continuity of f(x) at x = 3. Select all that apply: 7 -6- 5 4 3 2 1- -7-6-5-4-3-2-1 1 2 3 4 5 6 7 +1 -2· 3. -4 -6- f(x) is not continuous at a = 3 because it is not defined at x = 3. ☐ f(x) is not continuous at a = - 3 because lim f(x) does not exist. 2-3 f(x) is not continuous at x = 3 because lim f(x) ‡ ƒ(3). →3 O f(x) is continuous at a = 3.
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