Answers:
1st box: -2
2nd box: 6
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Step-by-step explanation:
To find the x intercepts, we replace f(x) with 0 and solve for x.
f(x) = -(x+1)(x-3)(x+2)
0 = -(x+1)(x-3)(x+2)
-(x+1)(x-3)(x+2) = 0
x+1 = 0 or x-3 = 0 or x+2 = 0
x = -1 or x = 3 or x = -2
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To find the y intercept, we plug in x = 0 and simplify.
f(x) = -(x+1)(x-3)(x+2)
f(0) = -(0+1)(0-3)(0+2)
f(0) = -1*(-3)*(2)
f(0) = 6
We can confirm these answers with a graph. See below. I used GeoGebra, but Desmos is another good option.