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Assume that P ( x ) is a polynomial along with degree n. Thus we know that the polynomial have to look like,
P ( x ) =axn..............
We don't know if there are any other terms in the polynomial; however we know that the first term will need to be the one listed as it has degree n. Now we have the following facts regarding the graph of P ( x ) at the ends of the graph.
1. If a> 0 and the value of n is even then the graph of P ( x )will increase without restricts positively at both endpoints. A good instance of this is the graph of x2.
2. If a= 0 and the value of n is odd then the graph of P ( x ) will increase without bound positively at the right end and decrease without bound at the left end. A good instance of this is the graph of x3.
3. If a= 0 and the value of n is even then the graph of P (x ) will decrease without any bound positively at both of the endpoints. A good instance of this is the graph of -x2.
4. If a= 0 and the value of n is odd then the graph of P ( x ) will decrease without any bound positively at the right end and increase without any bound at the left end. A good instance of this is the graph of -x3.
Okay, now that we've obtained all that out of the way finally we can give a procedure for getting a rough sketch of the graph of a polynomial.
Actually here we're not going to look at a general cubic polynomial. Here we are jsut going to look at f ( x ) = x 3 . Really there isn't much to do here other than only plugging
4x/y-3x/y+5x/y-x/y
4f=48
need helpplease
(x+2) (x+3)
how do you do it
The following equalities can be used to make conversion factors. 2.54 cm = 1 inch 12 inches = 1 foot 1 mile = 5,280 feet 100 cm = 1 m 1000 m = 1 km 36 inches = 1 y
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what is the proper way to state a negative exponent when dividing example 27exponent -2/3 divided by 27 exponent -1/3
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