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Find the nature of the graph of the function y = -9x3 + 5x2 - 2x using end behavior.

Find The Nature Of The Graph Of The Function Y 9x3 5x2 2x Using End Behavior class=

Sagot :

The graph goes upwards on the left side and downwards on the right side, so the correct option is the first one.

How is the end behavior of the function?

We have the function:

[tex]y = -9*x^3 + 5*x^2 -2x[/tex]

This is a cubic polynomial with a negative leading coefficient.

So, when x takes large negative values, because the leading coefficient is negative, y will take large positive values.

And when x takes large positive values, because the leading coefficient is negative, y will take large negative values.

So the nature is:

The graph goes upwards on the left side and downwards on the right side. The correct option is the first one.

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