**Graph Analysis Problem****Objective:** Analyze the graph below. Which of the following statements is/are true?**Graph Description:**The graph displays a curve with vertical asymptotes at \(x = 3\) and \(x = 5\). The function appears to approach negative infinity as \(x\) approaches 3 from the left (\(x \to 3^-\)), and positive infinity as \(x\) approaches 3 from the right (\(x \to 3^+\)). Similarly, as \(x\) approaches 5 from the left (\(x \to 5^-\)), the function goes to positive infinity, and as \(x\) approaches 5 from the right (\(x \to 5^+\)), it drops to negative infinity.**Options:**- □ As \(x \to 3^-\), \(f(x) \to -\infty\)- □ As \(x \to 3^+\), \(f(x) \to \infty\)- □ As \(x \to 5^-\), \(f(x) \to \infty\)- □ As \(x \to 5^+\), \(f(x) \to -\infty\)- □ None of the above**Instructions:**Review the graph and choose the option(s) that correctly describe the behavior of the function \(f(x)\) as \(x\) approaches the specified values from the left or right.**Show your work here:**

By using given graph we check which of the following given limits are true.

LO 5 Analyze the graph below. Which of the following is/are true? -10 as x→ 3, f (x) →→∞ as x→ 3¹, f (x) → -∞ as x → 5+, f (x) → ∞ None of the above -5 Show your work here 10 5 -5 10 E A 5 as x→ as x → as x → 10 3¹, f (x) → ∞ 5+, f (x) → ∞ 5¯, f (x) → ∞

LO 5 Analyze the graph below. Which of the following is/are true? -10 as x→ 3, f (x) →→∞ as x→ 3¹, f (x) → -∞ as x → 5+, f (x) → ∞ None of the above -5 Show your work here 10 5 -5 10 E A 5 as x→ as x → as x → 10 3¹, f (x) → ∞ 5+, f (x) → ∞ 5¯, f (x) → ∞

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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5.
Use the graphs to evaluate the expressions below. 6 5 4 3 2 1 f(x) - 1 +-1 f(g(2)) 1 2 3 4 = g(ƒ(4)) = g(g(0)) ƒ(ƒ(5)) = = = 000 X 5 6-1 6 g(x) 5 4 3 W 2 1 2 3 4 9 -1 1 X 5 6
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