The values of a and m does f(x) have a horizontal asymptote at y = 2 and a vertical asymptote at x = 1 is a= -1 and m =1
A straight line that continuously approaches a certain curve without ever meeting it is an asymptote. In other terms, an asymptote is a line that a curve travels toward as it approaches infinity.
Set the denominator to zero and solve for x to discover the vertical asymptotes. Set each factor to zero and solve as this has already been factored in. The asymptotes are expressed as equations of lines since they are lines. Asymptotes for the vertical line are x = 3 and x = 1.
The degree of the numerator and the degree of the denominator must be identical for this rational function to have a horizontal asymptote at y=2.
This suggests that m must be equal to 1.
When x equals 1, the function must have a vertical asymptote.
This suggests that the third option is the best one to choose.
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