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Write an equation for a rational function with:
Vertical asymptotes at x = -6 and x = 5
x intercepts at x = -4 and x = -3
Horizontal asymptote at y = 7
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This rational function wants to have binomial factors (x+6) and (x-5)
in the denominator to provide the necessary asymptotes
and binomial factors (x+4) and (x+3) in the numerator to provide the necessary x-intercepts.
So, we write
f(x) =
with coefficient "a".
Horizontal asymptote y= 7 means that { limit f(x) } is 7 when x tends to +oo or -oo,
which means that a= 7.
Finally, the function is f(x) = . ANSWER
Solved.
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