SOLUTION: Let f(x)= 2x^3-6x^2+2x+11 / x^2-4x+5. This is a function of x
A) Find the natural domain of f
B)Find the standard form of f
C) Find any straight line asymptotes of the graph
Algebra ->
Rational-functions
-> SOLUTION: Let f(x)= 2x^3-6x^2+2x+11 / x^2-4x+5. This is a function of x
A) Find the natural domain of f
B)Find the standard form of f
C) Find any straight line asymptotes of the graph
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Question 286758: Let f(x)= 2x^3-6x^2+2x+11 / x^2-4x+5. This is a function of x
A) Find the natural domain of f
B)Find the standard form of f
C) Find any straight line asymptotes of the graph y=f(x)
Please show working..
Thanks! Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Let f(x)= 2x^3-6x^2+2x+11 / x^2-4x+5. This is a function of x
Rewrite in factored form: y = 2x^3-6x^2+2x+11/[(x-5)(x+1)]
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A) Find the natural domain of f
Domain: All Real Numbers except x = 5 and x = -1
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B) Find the standard form of f
Not sure what you mean by that. Maybe they want you to
divide the numerator by the denominator so you can see
a slant asymptote.
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C) Find any straight line asymptotes of the graph y=f(x)
Vertical at x = 5 and at x = -1
Horizontal: none because degree of num > degree of denom.
Slant: possibly
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Cheers,
Stan H.
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