What do the graphs
a) P(x) = x(3x+2)(x3)(x+2)
and
b) P(x) = ((1x)^3)(x3)
look like and there keys points
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What do the graphs
a) P(x) = x(3x+2)(x3)(x+2)
and
b) P(x) = ((1x)^3)(x3)
look like and there keys points
It goes to infinity as x goes to +/ infinity.Quote:
Originally Posted by nath_quam
It has four distince roots at 0, 2/3, 3 and 2.
It has a local max/min between each pair of roots.
RonL
It goes to infinity as x goes to +/ infinityQuote:
Originally Posted by nath_quam
It has a root of multiplicity 3 at x=1 (it is negative as x approches 1 from
below, is tangent to the axis at x=1, and is positive
as x moves away from 1 above), and a simple root at x=3
It has a maximum between the roots.
RonL
Thanks Captain is any one able to graph this and send it to me
Hello, nath_quam!
has xintercepts:Quote:
What do the graphs looks like and what are their key points?
As . . . The graph rises to the right.
As . . . The graph rises to the left.
You should be able to sketch the graph now . . .
You can use the derivative to locate the exact positionsCode: *
* 
 *
* ** 
oooo
* *  * *
**  * *
 * *

. . of the maximum and the two minimums.
has xintercepts:
The graph rises to the right and to the left.
We find that is an inflection point
. . and there is a minimum at
Code:* 
*  *
* 
* *
+oo
 * *
 * *
 * *

Thanks but with the second graph wouldn't the point 5/2 be a maximum
The coefficient of is negative, so the graph should beQuote:
Originally Posted by Soroban
the other way up.
Nice ASCII art work as usual:)
RonL