meerkat18
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Use successive differences to classify the function represented in the table as linear, quadratic, or other. Show all your work.

Use successive differences to classify the function represented in the table as linear, quadratic, or other. Show all your work. class=

Verified Answer :

caylus

Hello,

This is something i have never done.

Δ³y=6==> degree=3
g(x)=ax^3+bx^2+cx+d

x=0,y=-2 ==>g(0)=d=-2
x=1,y=-1==>a+b+c-2=-1==>a+b+c=1 (1)
x=-1,y=-3==>-a+b-c-2=-3==>-a+b-c=-1 (2)
(1)+(2)==>2b=0==>b=0

==>a+c=1 (3)
x=2,y=6 ==>a8+c2-2=6 ==>4a+c=4 (4)
(4)-(3)==>3a=3==>a=1

g(x)=x^3-2




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