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Question

Three curves i.e.
a) y=x2
b) y=x3
c) y=x7
are depicted in the following graph and are numbered from 1 to 3.

Identify the correct relation.


  1. (a)-(1) , (b)-(2), (c)-(3)

  2. (a)-(3) , (b)-(2), (c)-(1)

  3. (a)-(2) , (b)-(3), (c)-(1)

  4. (a)-(1) , (b)-(3), (c)-(2)


Solution

The correct option is A

(a)-(1) , (b)-(2), (c)-(3)



When a polynomial is of the form y=xn the graph of the polynomial is the mirror image of the graph of the polynomial y=xn.

Also, when the value of n increases, the graph draws closer to the y-axis when x > 1 and x < -1 and the graph draws away from the y-axis when 1>x>-1.

Thus, graph 1 represents y=x2, graph 2 represesnts y=x3 and graph 3 represesnts y=x7

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