+0  
 
0
147
2
avatar+3406 

Help 9

NotSoSmart  Mar 8, 2018
 #1
avatar
+1

Second one

https://es.symbolab.com/solver/functions-calculator/f%5Cleft(x%5Cright)%3D%5Cfrac%7Bx%5E%7B2%7D%2B5x-6%7D%7Bx%5E%7B2%7D-16%7D

Guest Mar 8, 2018
 #2
avatar+89775 
+1

Let's do a little detective work.....

 

x^2  - 16     factors as   ( x + 4)  ( x - 4)   so we have vertical asypmtotes at   x  = - 4  and x  = 4

 

This rules out the first graph

 

Note that when  x  = 0    the y intercept  =  -6/16  =  3/8   .....this rules out the third graph which has a negative y intercept

 

Now.....let's find the  zeroes of the function  (where the grpah  intercepts the x  axis ) by solving this

 

x^ 2  + 5x  - 6  =  0

(x - 1) ( x + 6)  = 0

Setting both of these to 0 and solving produces  x = 1  and x  = -6

 

Note that  the second graph meets all the criteria

 

1. Vertical asymptotes at  x  = -4  and x  = 4

2. Positive y intercept

3. Zeroes (roots)  at  x  = -6   and  x  = 1

 

 

 

cool cool cool

CPhill  Mar 8, 2018

43 Online Users

avatar
avatar
avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.