Select the correct answer. This table represents values of a cubic polynomial function.

x y
-2 -12
-1 0
0 6
1 7.5
2 6
3 3

Based on the information in the table, which sentence best describes the interval ?

A.
The function is both increasing and decreasing on the interval .
B.
The function is increasing on the interval .
C.
The function is constant on the interval .
D.
The function is decreasing on the interval .

Post Test: Polynomial Functions and Complex Solutions

Answer is in the photo. I couldn't attach it here, but uploaded it to a file hosting. link below! Good Luck!

cutt.ly/XzW3SUN

there are lots of ways.   pick's theorem tells us if the vertices are lattice points the area a is

a = b/2 + i - 1

where b is the number of boundary lattice points and i is the number of interior lattice points.

in the figure i count b=16, i=50 so

a = 8 + 50 - 1 = 57

let's try the shoelace formula.   the area is half the sum of the cross products of the sides.  

a(-2,6)   -2(2)-6(-5) = 26

b(-5,2)   -5(-3) - 2(-2) = 19

c(-2,-3) -2(-3) - (-3)(4) = 18

d(4,-3)   4(3) - (-3)(5) = 27

e(5,3)   5(3) - 3(1) = 12

f(1,3)     1(6) - 3(-2) = 12

a(-2,6)

each of the cross products is twice the area of the triangle with the associated side and one vertex the origin. so the area of abo=26/2=13.

area = (1/2) (26 + 19 +   18 + 27 + 12 + 12) = 57

that checks!

the forst and 3rd

step-by-step explanation: