## anonymous one year ago Which graph represents the function of f(x) = the quantity of 4 x squared minus 4 x minus 8, all over 2 x plus 65?

1. anonymous

@jdoe0001

2. anonymous

where the graph

3. anonymous

i meant using graphing technology, and then tell where the point of discontinuity is on the graph

4. jdoe0001

or $$\bf \cfrac{4x^2-4x-8}{2x+2}\implies \cfrac{4(x^2-x-2)}{2(x+1)}\implies \cfrac{4\cancel{(x+1)}(x-2)}{2\cancel{(x+1)}}$$

5. anonymous

yes so it would be 2(x-2)

6. jdoe0001
7. jdoe0001

btw, you can zoom in/out on those graphs, by using the middle-mouse button

8. anonymous

would the point go on (-1,-6) or (1,-2)??

9. jdoe0001

yes

10. anonymous

graph of 2 x minus 4, with discontinuity at negative 1, negative 6 OR graph of 2 x minus 4, with discontinuity at 1, negative 2

11. jdoe0001

well... hold the mayo... notice, if x = -1 the denominator turns 0

12. anonymous

Confused

13. jdoe0001

$$\bf \cfrac{4x^2-4x-8}{2x+2}\qquad {\color{brown}{ x=-1}}\implies \cfrac{4x^2-4x-8}{2({\color{brown}{ -1}})+2}\implies \cfrac{4x^2-4x-8}{0}$$

14. jdoe0001

so -1,-6 is not a point on the line

15. anonymous

okay thanks :)

16. jdoe0001

yw

17. anonymous

If I ever have another question, I'll make sure to tag you :) Bye!!

18. jdoe0001

:)