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The graph of y=f(x) is shown in red below. For how many values of c is f(c) = -1? (Assum grid lines are spaced 1 unit apart)

 Aug 8, 2016
 #1
avatar+129839 
0

Looks like four values........although it's difficult to tell what they might be.....

 

 

cool cool cool

 Aug 8, 2016
 #2
avatar+12531 
+5

The graph of y=f(x) is shown in red below. For how many values of c is f(c) = -1? (Assum grid lines are spaced 1 unit apart)

 

laugh

 Aug 8, 2016
 #3
avatar+129839 
0

Thanks, Omi67.......I didn't take the question this far since they only wanted to know how many values there were......I forgot that we could use the zeroes to find the exact polynomial....good thinking...!!!!

 

 

 

cool cool cool

 Aug 8, 2016
 #4
avatar+118658 
0

Hi Omi, you have given and interesting answer, but I think it is a little floored.

 

If the eqation of this polynomial was 

f(x)=............. +12

as you have said then the y intercept would be 12  and you can see on the graph that it is a little over 1 (not12)

 

You forgot that the factorised form had a constant multiplier.   :(

 

 

Your sketch however is great.  

It clearly shows that the polynomial graph is cut in exactly 4 places by the line f(x) = -1      

 Aug 9, 2016

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