Given the function f(x)= x2-81/x2-11x+18 on your graphing calculator, what is the most appropriate viewing window to see the graph? a xmin: –10, xmax: 10 ymin: –10, ymax: 10 b xmin: –5, xmax: 5 ymin: –5, ymax: 5 c xmin: 0, xmax: 10 ymin: 0, ymax: 10 d xmin: –10, xmax: 0 ymin: –10, ymax: 0i figured it out, its a

The correct option is a.

Step-by-step explanation:

The given function is

It can be written as

Put x=0 to find y-intercept.

The y-intercept is (0,-4.5).

Put f(x)=0 to find x-intercept.

The x-intercept is (-9,0).

Equate denominator equal to 0, to find the vertical asymptote.

The vertical asymptote is x=2.

Take limit x tends to infinity, to find horizontal asymptote.

Apply limits,

The horizontal asymptote is y=1.

Since the intercepts and asymtotes lie in the window, i.e., Xmin: –10, Xmax: 10

, Ymin: –10, Ymax: 10, thus the correct answer would be option a.

2

step-by-2step explanation: