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Answer:
Step-by-step explanation:
A rational function is
where q(x) doesn't equal zero.
If p is a asymptote, or hole at that value, then we will use
Step 1: We have asymptote as 0 and -1 so our denomiator will include
Which is
So our denomator so far is
Step 2: Find Holes.
Since 12 is the value of the hole,
is a the binomial.
This will be both on the numerator and denomator so qe have
Step 3: Put the x intercepts in the numerator.
Since 5 and -7 is the intercepts,
Step 4: Horinzontal Asymptotes,
Multiply the numerator and denomiator out fully,
Take a L
look at the coefficients,
Notice they have the same degree,3, this means if we divide the leading coefficents, we will get our horinzonral asymptote.
Multiply the numerator by 4.
Above is the function,