Three curves i.e.
a) $y = - x^{2}$
b) $y = - x^{3}$
c) $y = - x^{7}$
are depicted in the following graph and are numbered from 1 to 3.

Identify the correct relation.

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

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

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

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

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Solution

The correct option is A (a)-(1) , (b)-(2), (c)-(3)
When a polynomial is of the form $y = - x^{n}$ the graph of the polynomial is the mirror image of the graph of the polynomial $y = x^{n}$ .

Also, when the value of n increases, the graph draws closer to the y axis.

Thus, graph 1 represents $y = - x^{2}$ , graph 2 represents $y = - x^{3}$ and graph 3 represents $y = - x^{7}$

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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.

Three curves i.e.
a) $y = - x^{2}$
b) $y = - x^{3}$
c) $y = - x^{7}$
are depicted in the following graph and are numbered from 1 to 3.

Identify the correct relation.