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Question

Three curves i.e.
a) y=x3
b) y=x5
c) y=x7
are plotted on the following graph.
Which polynomial is represented by graph 1?


A
y=x3
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B
y=x5
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C
y=x7
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D
None of the above
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Solution

The correct option is A y=x3
Consider xn where n is a positive odd integer.

As the value of n increases, the curve goes closer to the y-axis.

So, when the exponent is the least, the curve is the farthest from the y-axis.

Thus, graph 1, which is the farthest from the y axis, represents the polynomial x3.

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