SOLUTION: 1.what do all memebers of the family of linear functions f(x)=1+m(x+3) have in common?sketch several memebers of the family ??..please provide explanation also for all questions

Algebra ->  Graphs -> SOLUTION: 1.what do all memebers of the family of linear functions f(x)=1+m(x+3) have in common?sketch several memebers of the family ??..please provide explanation also for all questions       Log On


   

Question 256893: 1.what do all memebers of the family of linear functions f(x)=1+m(x+3) have in common?sketch several memebers of the family ??..please provide explanation also for all questions

2.find an expression for a cubic function f if f(1)=6 and f(-1)=f(0)=f(2)=0.


Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!

Here's the graph for m=-2,-1,0,1,2.
You can draw your conclusions from the graph.
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The simplest cubic polynomial is
f%28x%29=A%28x%2B1%29%28x-0%29%28x-2%29
f%281%29=A%282%29%281%29%28-1%29=6
-2A=6
A=-3
f%28x%29=-3x%28x%2B1%29%28x-2%29