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Question

The graph given below shows graphical representation of the following polynomials.

a) y=x3
b) y=x7
c) y=x2
d) y=x6


Identify the correct relation between the graphs (1 to 4) and the polynomials (a to d).

A
(a)1,(b)4,(c)3,(d)2
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B
(a)2,(b)1,(c)3,(d)4
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C
(a)1,(b)2,(c)3,(d)4
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D
(a)4,(b)3,(c)1,(d)2
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Solution

The correct option is D (a)4,(b)3,(c)1,(d)2
Consider the polynomial xn, where n > 0.

i) When n is even, the graph will be in the first and second quadrants. Also, as the value of n increases, the graph comes closer to the y-axis.
ii) When n is odd, the graph will be in the first and third quadrants. Also, as the value of n increases, the graph comes closer to the y-axis.

Thus, the correct relation is (a)4,(b)3,(c)1,(d)2

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