Answer:
Graph C with values below
Step-by-step explanation:
To do this you substitute x with the values of x given to solve for y:
-3:
- y= [tex]\frac{1}{2}[/tex](-3)³-2(-3)+1
- y= ([tex]\frac{1}{2}[/tex]×-27)+6+1
- y= -13.5+7
- y= -6.5
-2:
- y= [tex]\frac{1}{2}[/tex](-2)³-2(-2)+1
- y= ([tex]\frac{1}{2}[/tex]×-8)+4+1
- y= -4+5
- y= 1
0:
- y= [tex]\frac{1}{2}[/tex](0)³-2(0)+1
- y = 0+0+1
- y= 1
2:
- y= [tex]\frac{1}{2}[/tex](2)³-2(2)+1
- y= ([tex]\frac{1}{2}[/tex]×8)-4+1
- y= 4-4+1
- y=1
Using these values we can fill out the table and see the It must be graph C that is the correct curve.
