4x +2 f(x)% = %3D 2x +4 The Domain The Range Equation of the Vertical Asymp Equation of the Horizontal Asy 5x 2a

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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Question
18.
For the following polynomial function, find:
f(x)= (x-9)(x-6(x-3(x\x+3)(x+6)(x+9)
The maximum number of peaks and valleys (local maxima and local minima)
The maximum number of real zeros for the function
7.
Transcribed Image Text:18. For the following polynomial function, find: f(x)= (x-9)(x-6(x-3(x\x+3)(x+6)(x+9) The maximum number of peaks and valleys (local maxima and local minima) The maximum number of real zeros for the function 7.
For the following rational function, find the domain and range (place your answers in
interval notation).
19.
f
function is (h,k)
4x +2
f(x) =
Lancslon
2x + 4
The Domain
The Range
Equation of the Vertical Asymptote
Equation of the Horizontal Asymptote
24)
Transcribed Image Text:For the following rational function, find the domain and range (place your answers in interval notation). 19. f function is (h,k) 4x +2 f(x) = Lancslon 2x + 4 The Domain The Range Equation of the Vertical Asymptote Equation of the Horizontal Asymptote 24)
Expert Solution
Step 1

# we are entitled to solve one qestion at a time. since question no 18 is already done so doing 19 .

If you wish to get the other question also solve, please resubmit the question.

The given function is f(x)=4x+22x+4

simplify 

f(x)=4x+22x+4=2x+1x+2

the domain of the function is the set of input values for which the function is defined and is real .

The given function is not defined at x=-2

therefore, the domain of the function will exclude the point x=-2

therefore, the domain of the function is -,-2-2,

or x<-2 or x>2

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