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Gekata [30.6K]
3 years ago
9

ITTTTSSSS TTTTTIIIMMMEDDD!!!Graph the function y = x3 + 3x2 – x – 3. Which lists all of the turning points of the graph?

Mathematics
2 answers:
Aleks04 [339]3 years ago
7 0
I cannot do turning points.
Also, if this is from a test, it can be removed.

But here is a graph of the function.


Lena [83]3 years ago
3 0
Take derivitive and set to 0 to find the mins and maxes

y'=3x^2+6x-1
set to zero

0=3x^2+6x-1
solve and get x=\frac{-3-2\sqrt{3}}{3} and x=\frac{-3-2\sqrt{3}}{3}
those are the turning points


if ya meant inflection point take 2nd deriviive and set to 0

y''=6x+6
set to o
0=6x+6
-6=6x
-1=x
if we find f(-1) we get 0

the inflection point is at (-1,0)
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S_A_V [24]

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This algebraic fraction

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= x(x + 9 ) - 5(x + 9 )

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The second part

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= x(x + 1) + 9( x + 1 )

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Now place the second expression which is the denominator under the first expression which is the numerator.

( x + 9 )( x - 5 )/( x + 9 )( x + 1 ).

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x - 5/x + 1

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