Question

Graph the rational function
f (x)=- 3x + 1
-x+2

Answer 1

y=3 seems the best out of this

Answer 2

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.