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Contents
Higher Degree Functions
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Higher
Degree Equations
Graph
of y = x3
Properties
of the cubic curve:
1.
There is one stationary point, which is a point of inflexion.
Some
cubic curves may have two turning points instead, depending on the equation.
There may be one, two or three x-intercepts.
2.
There are no asymptotes; the function is defined for all values of x.
3.
The curve is symmetrical about origin.
 Example:
Sketch the graph of y = x3 - x.
Solution:X-intercepts:
when y = 0,
x (x + 1)(x - 1) = 0 --> x = 0, x = -1, x = 1
Y-intercept
= (0, 0)
Turning
point:
dy/dx = 3x2 - 1 = 0
 when
 ,  
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