+0  
 
0
127
2
avatar+558 

Which graph represents the polynomial function?

y=x4−6x3−11x2+60x+100

SamJones  Mar 1, 2018
 #1
avatar
0

with x =0, you know y=100

so only the bottom two have a point 0,100

then it is trial and error. 

plug in 2 for x and 0 for y, 

if that works then it is the bottom left one.

if not then it is the other one,

you could check the bottom right with -2,0 or 5,0 as well

but 5,0 is an assumption since the 5 isnt labled.

so i would do this

0=(2)^4 - 6(2)^3 - 11(2)^2 +60(2)+100

Guest Mar 1, 2018
 #2
avatar+87342 
+1

If x  =  0...then y = 100

 

Thus....one of the two bottom graphs must be correct

 

Notice in the bottom left graph that 2 appears to be a root.....testing this in the polynomial should produce a result of 0

 

y=2^4−6(2)^3−11(2)^2+60(2)+100   =  144

 

So...the bottom right graph is correct

 

 

cool cool cool

CPhill  Mar 1, 2018

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