Identify the horizontal asymptote of f (x) = quantity 2 x minus 1 over quantity x squared minus 7 x plus 3. y = 0 y = 1 over 2 y = 2 no horizontal asymptote

The horizontal asymptote is the value at the y-axis where the graph approaches the line but not necessarily touching it. Hence, the asymptotic characteristic of the graph. The standard form of a function in fraction form is y = (ax^n + ...) / (bx^m + ...). There are rules to follow to determine the horizontal asymptote of a function.

1) if n = m, then the horizontal equation is y = a/b

2) if n>m, then there is no horizontal equation

3) if n
The function given falls on the third rule hence the horizontal asymptote of the function is at y = 0.