Posted by lee on Wednesday, November 14, 2012 at 11:47am.
3. Find a model for the set of values.
x –5 –4 0 4 5
y 25 16 2 16 25
Can someone explain what the graph might look like whether it opens up or down, or slanted line or squiggle line

algebra  Steve, Wednesday, November 14, 2012 at 11:58am
looks symmetric about x=0, and opens up.
In fact, it looks a lot like y = x^2!

algebra  Steve, Wednesday, November 14, 2012 at 11:59am
with a bump at x=0

algebra  Steve, Wednesday, November 14, 2012 at 12:06pm
using Newton's divided differences, you can see that
.005*x^4 + .795*x^2 + 2
matches the data points

algebra  lee, Wednesday, November 14, 2012 at 1:00pm
I thought the graph looks like it opens up with the bottom on 2
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