Question

What is the graph of the function f(x) = f(x)=-x^2-9x-20/x+4

http://learn.flvs.net/webdav/assessment_images/educator_algebra2_v10/07_h06g_13.gif

http://learn.flvs.net/webdav/assessment_images/educator_algebra2_v10/07_h06g_14.gif

http://learn.flvs.net/webdav/assessment_images/educator_algebra2_v10/07_h06g_15.gif

http://learn.flvs.net/webdav/assessment_images/educator_algebra2_v10/07_h06g_16.gif

Answer 1

When x+4=0, the function is undefined. This way, you eliminate two graphs.

When x+4 !=0, then f(x)=-x^2-9x-20/x+4=-(x+4)(x+5)/(x+4)=-(x+5)
This way, you can eliminate two graphs.

Double check that the remaining graph is the correct one.

Answer 2

so which one would you say is correct? i chose the 3rd one

Answer 3

You have the graph with the correct slope and intercept.
However, graph #3 has the discontinuity at x=4 while the discontinuity of the function is at x+4=0, or x=-4.

I am sure your next choice will be the good one.

Answer 4

thank you so much...

Answer 5

You're welcome! :)