Question

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

Answer 1

same as computing a bunch of slopes only the denomintor is always so just the difference in the numerators

Answer 2

\[-10+29=19\\
-3+10=7\\
-2+3=1\\
-1+2=1\\\\
6+1=7\\
25-6=19\]

Answer 3

the recessive differences are quadratic, to the original function is "other" namely cubic

Answer 4

\[y=x^3-2\] will work if you try the pairs

Answer 5

Okay that definitely helped. I was completely stumped on what to do with this. Thank you so much @misty1212

Answer 6

you're welcome