1.

Let f:RtoR:f(x)=x^(3)" for all "x""inR. Find its domain and range. Also, draw its graph.

Answer»

Solution :Let `f:RtoR:f(x)=x^(3)" for all "x""inR`
Then,
dom (f)=R and range (f)=R.
Now, we have:

On a graph paper, we draw X' OX and YOY' as the x-axis and the y-axis respectively.
We take the SCALE as
5 small divisions = 1 unit.
Now, we PLOT the points A(-2,-8), B(-1.5,-3.375), C(-1,1), O(0,0), D(1,1), E(1.5,3.375) and F(2,8).
We join these points freehand successively to obtain the required curve.


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