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Use the information about the graph of a polynomial function to determine the function. Assume the leading coefficient is 1 or −1. The y− intercept is (0,−36) The x− intercepts are (−6,0), (6,0) The degree is 22 As x→ − ∞, f(x)→ ∞ As x→ ∞, f(x)→∞

Use the information about the graph of a polynomial function to determine the function. Assume the leading coefficient is 1 or −1. The y− intercept is (0,−36) The x− intercepts are (−6,0), (6,0) The degree is 22 As x→ − ∞, f(x)→ ∞ As x→ ∞, f(x)→∞

Advanced Engineering Mathematics
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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Use the information about the graph of a polynomial function to determine the function. Assume the leading coefficient is 1 or −1.

  • The y− intercept is (0,−36)
  • The x− intercepts are (−6,0), (6,0)
  • The degree is 22
  • As x→ − ∞, f(x)→ ∞
  • As x→ ∞, f(x)→∞
Expert Solution
Step 1

Given Data:

Let us consider the given polynomial function . 

Leading coefficient is 1 or -1.

  • The y− intercept is (0,−36)
  • The x− intercepts are (−6,0), (6,0)
  • The degree is 22
  • As x→ − ∞, f(x)→ ∞
  • As x→ ∞, f(x)→∞

To find:

The function fx.

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