Draw the graphs of the polynomial funcations
(i) ` f (x) = x^(2)` (ii) ` f(x)= 1-x^(2)`
(iii) ` f(x) = x^(3) -x`

Explanation

(i) The funcation ` f(x)=x^(2)` is a quadratic funcation. Some of the points on the graph are (0,0) , (1,1) , (-1,1) ,(-2,4) ,(2,4), ( -3,9) , (3,9) etc. joining these points , we get a parabola as the graph.
(ii) ` f (x) = 1-x^(2)` is also a quadratic funcation. some of the points on the graph are
(0,1) , (1,0) , (-1,0) , ( 2,-3) ,(-3,-8) , (3,-8) etc.
Joining these points, we obtain a parabola as its graph.
(iii) Let ` f (x) =x^(3) -x`
This is a cubic funcation.
Some, of the points on the graph are (0,0) , (1,0) , ( -0.5, 0.375), (0.5,-0.375) ,(2,6) , ( -2,-6) , etc.
Joining these points, we obtain the required graph.