Question

Use successive differences to classify the function represented in the table. Show all your work.

Answer 1

Here's what I know:

The line is NOT linear since there is no pattern. It is quadratic though.

Answer 2

same as computing a bunch of slopes only the denomintor is always so just the difference in the numerators
−10+29=19
−3+10=7
−2+3=1
−1+2=1
6+1=7
25−6=19
the recessive differences are quadratic, to the original function is "other" namely cubic
y=x^3−2
will work if you try the pairs

Answer 3

I googled it already. It is not the same problem.

Answer 4

@misty1212

@texaschic101

@amistre64

Answer 5

@e.mccormick

@iambatman

Answer 6

@helper99 umm... the y axis values are all positive, so it can't be cubic.

@TheUnbreakable have you tried fitting a parabola to it?

Answer 7

I am not even sure what a parabola is..

Answer 8

can you refresh my memory please? I want to learn this...

Answer 9

Quadratics make parabolic curves:


and things similar to that.

Answer 10

But smoother... hehe.

Answer 11

:) I know what you are trying to show me. So how do I apply this "parabola" to my problem? It sounds like a distant cousin of the ebola virus....

Answer 12

Well, quadratics graph as one. What have you done in graphing quadratics?

Answer 13

I know the formula. That is about it... Sorry, I am really forgetful....

Answer 14

OK. Here are two graphs just to show more clearly what I am talking about:

https://www.desmos.com/calculator/uxoyz3bvs9

So the question becomes, how do you find a quadratic from points.

Answer 15

Would the slope help? All I know if these types of lines are infinite and have an infinite amount of points.

Answer 16

Slope does not apply in the case of curves until you know calculus.

Now, a quadratic can be witten more generally as:
\(y=ax^2+bx+c\)

So you need to find a, b, and c. Well, to find three unknowns you need 3 equations.

Answer 17

Alright, so where do I look for these three unknowns?

Answer 18

use the difference tiers ....

Answer 19

@amistre64 I did try. The differences are not in a consistent pattern.

Answer 20

14 5 2 5 14

whats our first set of differences? humor me

Answer 21

Well, you are given the x and y values. the y is the h(x). So you know things like this
\(y=ax^2+bx+c\) becomes:
\(2=a0^2+b0+c\)

Answer 22

@amistre64

-9, -3, 3, 9

Answer 23

14 5 2 5 14
-9 -3 3 9

and whats the differences in the difference?