SOLUTION: a) Sketch the polynomial defined by the following: f(x) is cubic f(x) ≥ 0 when x ≤ 2 f(x) < 0 when x > 2 f(0) = 4 b) Write an equation for f(x) in general form. I ne

Question 1182973: a) Sketch the polynomial defined by the
following:
f(x) is cubic
f(x) ≥ 0 when x ≤ 2
f(x) < 0 when x > 2
f(0) = 4
b) Write an equation for f(x) in general form.
I need your help!! thanks
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

In order for it to be positive before and negative after , then it must look like this,

or else you will have an additional set of directional changes.
So now solve for the constant.
After the cubic will be positive so the constant needs to be negative.
So,

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