(Question 6) Do a complete graphinganalysis, including end and asymptoticbehavior, for the functionp(x) = x4 – 24x + 128. Create agraph by hand that matches youranalysis, including sufficient details.

Given function is: y=x4-24x+128 Domain: -∞,∞ Range: [95.29,∞) Y-Intercept: 0,128 Critical Point:…

(Question 6) Do a complete graphing analysis, including end and asymptotic behavior, for the function p(x) = x* – 24x + 128. Create a graph by hand that matches your analysis, including sufficient details.

(Question 6) Do a complete graphing analysis, including end and asymptotic behavior, for the function p(x) = x* – 24x + 128. Create a graph by hand that matches your analysis, including sufficient details.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.5: Graphs Of Functions

Problem 36E

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Question

Expert Solution

Step 1

Given function is:

$y = x^{4} - 24 x + 128$

Domain: $(- \infty, \infty)$

Range: $[95.29, \infty)$

Y-Intercept: $(0, 128)$

Critical Point: $(x, f (x)) = (1.81, 95.29)$

Interval of increase: $(1.81, \infty)$

Interval of decrease: $(- \infty, 1.81)$

Local Minima: $(1.81, 95.29)$

Asymptote: No asymptote

Limit: $\lim_{x \to \infty} (x^{4} - 24 x + 128) = \infty$

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