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Actually here we're not going to look at a general cubic polynomial. Here we are jsut going to look at f ( x ) = x3 . Really there isn't much to do here other than only plugging in some points & plotting.
x
f(x)
0
1
-1
2
8
-2
-8
Following is graph of this function.
Horizontal Shifts These are quite simple as well though there is one bit where we have to be careful. Given the graph of f ( x ) the graph of g ( x ) = f ( x + c ) will be t
Prove that cosets of an ideal I in a ring R are disjoint or equal
simplifications
(a+7b)7
How much of a 50% alcohol solution should we mix with 10 gallons of a 35% solution to get a 40% solution? Solution Let x is the amount of 50% solution which we need. It me
write the following function x^2-2x-1 in the form of y=a(x-h)^2+k
In this section we are going to look at a technique for getting a violent sketch of a general polynomial. The only real information which we're going to required is a complete list
Let a = 2 cm, b = 6 cm, and angle A = 60°. How many solutions are there for angle B We must calculate b sin A . If it is less than a , there will be
5m2-11m-3=0
Sketch the graph through the process of finding the zeroes Example Sketch the graph of P ( x ) = x 4 - x 3 - 6x 2 . Solution
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