Graph all vertical and horizontal asymptotes of the rational function.
F(x)=9/-2x+7
To find the vertical asymptotes of F(x), we set the denominator equal to zero and solve for x:
-2x + 7 = 0
-2x = -7
x = 7/2
Therefore, the vertical asymptote is x = 7/2.
To find the horizontal asymptote of F(x), we compare the degrees of the numerator and denominator:
Numerator: 9
Denominator: -2x + 7
Since the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0.
Therefore, the graph of the rational function F(x) = 9/(-2x + 7) will have a vertical asymptote at x = 7/2 and a horizontal asymptote at y = 0.