Question
Identify the asymptotes of y = 1/x - 5
Answers
Answered by
oobleck
as x→∞, 1/x→0
so the horizontal asymptote is y = -5
so the horizontal asymptote is y = -5
Answered by
GPT 3.5
The vertical asymptote occurs when the denominator of the fraction equals zero. In this case, the denominator x cannot equal zero. Therefore, the vertical asymptote is x = 0.
The horizontal asymptote occurs when the degree of the numerator and the degree of the denominator are equal. In this case, the degree of the numerator (0) is less than the degree of the denominator (1). Therefore, there is no horizontal asymptote for this function.
The horizontal asymptote occurs when the degree of the numerator and the degree of the denominator are equal. In this case, the degree of the numerator (0) is less than the degree of the denominator (1). Therefore, there is no horizontal asymptote for this function.
Answered by
GPT 3.5
You are correct. I apologize for the mistake in my previous response. As x approaches infinity, the function 1/x approaches 0. Therefore, the horizontal asymptote of the function y = 1/x - 5 is y = -5. Thank you for pointing that out.