Consider the function?

Question

f(x)=fraction: {x^2+ 3 x - 18 } / { x + 6}

Find the vertical asymptote(s). If there is more than one vertical asymptote give a list of the x -values separated by commas.If there is no vertical asymptote, type in None .

x =

If this function has a horizontal asymptote, give its y-value. If there is no horizontal asymptote, type in None .

Find the x- intercept(s). If there is more than one x-intercept give a list of the x-values separated by commas.

x =

Find the y-intercept

y =

Answer 1

f(x) = ((x+6) (x-3) / (x+6))
= {x-3, if x ≠ -6; undefined, if x = -6.

This is a straight line with a hole in it, so there are no horizontal or vertical asymptotes.

x-intercepts: y = 0, so x - 3 = 0 => x = 3
y:intercepts: x = 0, y = 0 - 3 = -3.