The graph of the function $f(x) = \frac{3x^2 + 8x + 4}{x^2 + 8x - 7}$ has a horizontal asymptote. If the graph crosses this asymptote, give the $x$-coordinate of the intersection. Otherwise, state that the graph does not cross the asymptote.
Added by Stanley C.
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To do this, we need to look at the highest degree term in the function, which is 3x^2. Since the degree is 2, the horizontal asymptote will be a horizontal line. The equation of a horizontal line is y = c, where c is a constant. Show more…
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