State the horizontal asymptote of the rational function.
f(x) = quantity x squared plus four x minus seven divided by quantity x minus seven.

None

y = -4

y = 7

y = 6
please explain don't just give the answer

Question

State the horizontal asymptote of the rational function.
f(x) = quantity x squared plus four x minus seven divided by quantity x minus seven. 

 None

 y = -4

 y = 7

 y = 6
please explain don't just give the answer

anonymous · Answer

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The answer is None. If the degree of the numerator (here it is 2) is greater than the degree of the denominator (here it is 1) it approaches + or - infinity on either end and there is no horizontal asymptote. The "degree" is the largest exponent