Posted by lee on .
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,
looks symmetric about x=0, and opens up.
In fact, it looks a lot like y = x^2! 
algebra 
Steve,
with a bump at x=0

algebra 
Steve,
using Newton's divided differences, you can see that
.005*x^4 + .795*x^2 + 2
matches the data points 
algebra 
lee,
I thought the graph looks like it opens up with the bottom on 2