Answer:
Step-by-step explanation:
You must show that this is a rational function. As written, it is not such.
-3x + 1
f(x) = ------------
-x + 2
is a rational function; the horizontal line --------- indicates division.
If we let x grow large, the graph approaches the horizontal line y = 3, which we call "the horizontal asymptote." There is a vertical asymptote at x = 2, which we know because the denominator will be zero at that x value. The vertical intercept is
f(0) = 1/2, or (0, 1/2).
As x decreases towards negative infinity, the graph approaches the horizontal line (horizontal asymptote) y = 3.
