Monday 1 April 2013

GRAPH - LINEAR

LINEAR GRAPH : y = ax^0 or y = ax^1

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Case 1: when n =0

y= 2x^0

y=-2x^0

The points are all linear which has a constant gradient.
The gradient is dependent on the value of a. if a >0 then gradient is positive, if a < 0 then the gradient is negative. However if a =0 gradient is zero.
Absence of turning point and line of symmetry 
The y intercept is dependent on what the value of c is.



Case 2:when n=1

y= 3/4x^1+4


y=3/4x^1


y=-3/4x^1



y=-3/4x^1-4




The line is also linear.
The gradient is dependent on the value of a. if a >0 then gradient is positive, if a < 0 then the gradient is negative. However if a =0 gradient is zero.
The y intercept is dependent on b in the y=ax+b equation.



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