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1. The figure shows the graph of a function f (x) with domain 0 < x < 3. Which of the following statements are true? I) lim f(x) exists x-2" II) lim f(x) exists III) lim f(x) exists x--2+ (A) I only (C) I and Il only (B) |I only (D) II and III only

1. The figure shows the graph of a function f (x) with domain 0 < x < 3. Which of the following statements are true? I) lim f(x) exists x-2" II) lim f(x) exists III) lim f(x) exists x--2+ (A) I only (C) I and Il only (B) |I only (D) II and III only

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 34E
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1. The figure shows the graph of a function f (x) with domain 0 < x < 3. Which of the following statements are true? I) lim f(x) exists x-2" II) lim f(x) exists III) lim f(x) exists x--2+ (A) I only (C) I and Il only (B) |I only (D) II and III only
Transcribed Image Text:1. The figure shows the graph of a function f (x) with domain 0 < x < 3. Which of the following statements are true? I) lim f(x) exists x-2" II) lim f(x) exists III) lim f(x) exists x--2+ (A) I only (C) I and Il only (B) |I only (D) II and III only
2. Which is the interpretation of the statement lim f(x) = L? i. For all x values close to c, but not equal to c, the values of f(x) approach a single finite value L. ii. For all x values close to c, but not equal to c, the values of f(x) approach two finite values of L. iii. For all x values close to c, but not equal to c, the value of f(x) does not exist. (A) i only 3. What is lim 4x²-8x , (B) i and ii only (C) ii and i only (D) i and ii only x-2 x-2 (A) 2 (B) 4 (C) 8 (D) does not exist 4. Given f(x) = x? – 3x, what is limx+h)-f(x) 7 h-0 h (A) 2x + 3 (B) 2х — 3 (C) 2х (D) 0
Transcribed Image Text:2. Which is the interpretation of the statement lim f(x) = L? i. For all x values close to c, but not equal to c, the values of f(x) approach a single finite value L. ii. For all x values close to c, but not equal to c, the values of f(x) approach two finite values of L. iii. For all x values close to c, but not equal to c, the value of f(x) does not exist. (A) i only 3. What is lim 4x²-8x , (B) i and ii only (C) ii and i only (D) i and ii only x-2 x-2 (A) 2 (B) 4 (C) 8 (D) does not exist 4. Given f(x) = x? – 3x, what is limx+h)-f(x) 7 h-0 h (A) 2x + 3 (B) 2х — 3 (C) 2х (D) 0
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