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.

question:

could we have options?

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: