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Mathematics 7 Online
OpenStudy (anonymous):

For the polynomial function, find the specified function values. f(x)=3x^3+3x^2-2 find f(0) and f(-1).

jimthompson5910 (jim_thompson5910):

To find f(0), replace each x with 0. Then evaluate/simplify.

OpenStudy (anonymous):

I got -2

jimthompson5910 (jim_thompson5910):

good, do the same with -1

jimthompson5910 (jim_thompson5910):

and tell me what you get

OpenStudy (anonymous):

3

jimthompson5910 (jim_thompson5910):

no, if you replace x with -1, you get 3x^3+3x^2-2 3(-1)^3+3(-1)^2-2 Do you have what I wrote so far?

OpenStudy (anonymous):

yes

jimthompson5910 (jim_thompson5910):

ok what is -1 cubed?

OpenStudy (anonymous):

-1 i think

jimthompson5910 (jim_thompson5910):

good

jimthompson5910 (jim_thompson5910):

what is -1 squared

jimthompson5910 (jim_thompson5910):

Ie, what is (-1)^2

OpenStudy (anonymous):

1

jimthompson5910 (jim_thompson5910):

good

jimthompson5910 (jim_thompson5910):

So 3(-1)^3+3(-1)^2-2 becomes 3(-1)+3(1)-2

jimthompson5910 (jim_thompson5910):

now tell me what you get

OpenStudy (anonymous):

-2

jimthompson5910 (jim_thompson5910):

perfect

jimthompson5910 (jim_thompson5910):

So in the end f(0) = -2 and f(-1) = -2 Note: it's purely coincidental that the two values have the same outputs

OpenStudy (anonymous):

thanks

jimthompson5910 (jim_thompson5910):

you're welcome

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