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Graph the polynomial function f(x) = x3 + 3x2 – 4x – 12 using its intercepts and end behavior.

Graph The Polynomial Function Fx X3 3x2 4x 12 Using Its Intercepts And End Behavior class=

Sagot :

kamilmatematik100504

Answer:

Step-by-step explanation:

[tex]x^3 + 3x^2 -4x - 12 = (x^3 -4x) + (3x^2 - 12) = x(x^2 - 4) + 3(x^2 - 4) = \\\\ = (x+3)(x^2 -4) = (x +3)(x -2)(x+2)[/tex]

So,  the graph interesepts OX  in  points   -3 ;2 ; -2,  and OY in point
f(0)  =  -12

View image kamilmatematik100504
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