From the equation it is clear that it is safe to assume the graph is correctly drawn because (0,-8) is the solution of the equation, and it is the part of the graph.
"A cubic equation is an equation which can be represented in the form a x 3 + b x 2 + c x + d = 0 ax^3+bx^2+cx+d=0 ax3+bx2+cx+d=0, where a , b , c , d a,b,c,d a,b,c,d are complex numbers and a is non-zero. By the fundamental theorem of algebra, cubic equation always has 3 roots, some of which might be equal."
The given equation is 0.5x3 + 3x2 -8[tex]y= 0.5x^3 + 3x^2 -8[/tex]
Replacing in the equation with 0,
we gets
0.5x0+0x3-8=-8
so (0,-8) is the solution of the equation.
Hence, B is the correct option.
To know more about the cubic equation here
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