Which polynomial function could be represented by the graph below?

Asked by wiki @ 31/10/2020 in Mathematics viewed by 394 People

f(x) = x^3 + x^2 – 6x
f(x) = x^3 – x^2 – 6x
f(x) = –2x^3 – 2x^2 + 12x
f(x) = –2x^3 + 2x^2 + 12x

Answered by wiki @ 31/10/2020

we know that

Using a graph tool

I'm going to proceed to graph each case to determine the solution

case a) $f(x) = x^3 + x^2 - 6x$

see the attached figure N $1$

case b) $f(x) = x^3 - x^2 - 6x$

see the attached figure N $2$

case c) $f(x) = -2x^3 - 2x^2 +12x$

see the attached figure N $3$

case d) $f(x) = -2x^3 + 2x^2 +12x$

see the attached figure N $4$

therefore

the answer is the option

case c) $f(x) = -2x^3 - 2x^2 +12x$

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