3 years ago

What is the end behavior of f(x) = (x − 3)2(x + 5)(x − 2)3?

1 answer:

6 0

The total power of the polynomial is 6 so it would take on the same end behavior as a parabola. As x approaches infinity y approaches infinity, as x approaches negative infinity y approaches infinity.
I hope this helps.

You might be interested in

What is this shape which is 75 mm in diameter and 112 mm in height.<br> This shape has to be a prism

klasskru [66]

The shape you are looking for is a pyramyde

<span />

8 0

2 years ago

What are the coordinates of the point?

kenny6666 [7]

D -2, 4 is in the second quadrant because the -x brings it to the left side and the positive 4 puts it in the upper of the left side which is the second quadrant

7 0

3 years ago

Find the maximum rate of change of f(x,y,z=x y/z at the point (2, -3, 5 and the direction in which it occurs. maximum rate of ch

kherson [118]

$f(x,y,z)=x+\dfrac yz$
$\implies \nabla f(x,y,z)=\left(1,\dfrac1z,-\dfrac y{z^2}\right)$
$\implies \nabla f(2,-3,5)=\left(1,\dfrac15,\dfrac3{25}\right)$

The maximum rate of change is then

$\|\nabla f(2,-3,5)\|=\dfrac{\sqrt{659}}{25}$

which occurs in the direction of $\nabla f(2,-3,5)$ above.