Write the domain and range of thefollowing functionin interval notation.5xx² + 4x + 4f(x)

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Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

Write the domain and range of the
following function
in interval notation.
5x
x² + 4x + 4
f(x)

Expert Solution

Step 1

$s o l u t i o n : - f (x) = \frac{5 x}{x^{2} + 4 x + 4} d e g r e e o f n u m e r a t o r = 1 d e g r e e o f d e n o m i n a t o r = 2 h e r e, d e g r e e o f n u m e r a t o r < d e g r e e o f d e n o m i n a t o r t h e n h o r i z o n t a l a s y m p t o t e i s t h e x - a x i s (y = 0)$

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All you did in the follow up was just repeat what you said in the original solution. What I really need to know is how to find the maximum without using calculus.

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