SOLUTION: I don't have a graphing calculator and I would like to know how to solve this in details please... Analyze the graph of the function R(x)=(7)/(x^2-36). To graph R using a graphing

Question 1157919: I don't have a graphing calculator and I would like to know how to solve this in details please...
Analyze the graph of the function R(x)=(7)/(x^2-36). To graph R using a graphing utility, determine an appropriate viewing window necessary to obtain a complete graph. Choose the correct answer below.
A.
[-12,12,2] by [0,4,1]
B.
[-12,12,2] by [-4,4,1]
C.
[0,12,2] by [-4,4,1]
D.
[-12,12,2] by [-4,0,1]
Answer by greenestamps(13334) (Show Source): You can put this solution on YOUR website!

Factor the denominator to show the function as

The graph will have vertical asymptotes at x=-6 and x=6; so the window must include both of those x values. That eliminates answer choice C.

The factors of (x+6) and (x-6) each occur only once. That means that from one side to the other of x=-6, and from one side to the other of x=6, the sign of the function will change; so the window must display both positive and negative function values. That eliminates answer choices A and D.

The only choice left is B.

Here is a graph using that window:

RELATED QUESTIONS
hey there, I really don�t know in which category this goes, but my teacher gave me this... (answered by josgarithmetic)

I don;t get this graphing thing at all! I have to solve the system of linear equations by (answered by ankor@dixie-net.com)

Figuring out graphing of this polynomial: f(x) = 12x^3 - 12x^2 - 24x what I have... (answered by josgarithmetic)

Figuring out graphing of this polynomial: f(x) = 12x^3 - 12x^2 - 24x what I have so (answered by josgarithmetic)

Solve the system by graphing the equations on a graphing calculator, (not the issue), and (answered by josgarithmetic)

How do you use a graphing calculator to graph f(x)=x^7-2x^5 on an interval of (-2,2)? I... (answered by stanbon)

Use a graphing calculator to find approximate solutions of the equation. xe^(3x)-1= 3 (answered by AnlytcPhil)

Quick question. 23-(x-7) Trying to understand how this is solved. I know the... (answered by josgarithmetic)

Find the number of years it will take for $31,000 to grow to 33,405.06 at 3% interest... (answered by scott8148,ankor@dixie-net.com)