1. ## functions help

Would you explain How to determine the equation of the function and what does it mean to determine the sign of the function in each interval "created by zeros" of the function?

With these given points:
(-12,-30888), (-10,-12375), (-8,-4032), (-6,-945), (-4,-120), (-2,-3), (0,0), (2,3), (4,120), (6,945), (8,4032), (10,12375), (12,30888)

Thanks

2. hi im new but i''ll try to help, please correct me if i am wrong.

Q1.Would you explain How to determine the equation of the function?
A. you were given a set points and expected to deduce an equation that would out put those values, it looks like there is a pattern so i think this is a geometric sequence problem.

Q2.what does it mean to determine the sign of the function in each interval "created by zeros" of the function?
A. the Zeros of a function are the x values where y=0, that is where the curve of the function intersects the x axis. anything above the x axis is + and below is -. The curve looks like an odd function which means it is flipped across x axis for negative x values.

With these given points:
(-12,-30888), (-10,-12375), (-8,-4032), (-6,-945), (-4,-120), (-2,-3), (0,0), (2,3), (4,120), (6,945), (8,4032), (10,12375), (12,30888)

i cant remember how to do geometric sequences but i'll help on Q2.
with the points you were given, it again looks like f(x) = - f(-x) but im not sure until you figure the equation. y= 0 is a zero, that occurs at x=0 so x= 0 is a 'root' or a 'zero' this splits the graph into two intervals, where if x>= 0 then the sign is positive, and if x< 0 the sign is negative.

a hint on Q1. it looks like its in the form of ax^n where a,n are + integers