Three curves i.e.
a) $y = x^{3}$
b) $y = x^{5}$
c) $y = x^{7}$
are plotted on the following graph.
Which polynomial is represented by graph 1?

y = x^{3}

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y = x^{5}

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y = x^{7}

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None of the above

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Solution

The correct option is A $y = x^{3}$
Consider $x^{n}$ 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 $x^{3}$ .

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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?

Three curves i.e.
a) $y = x^{3}$
b) $y = x^{5}$
c) $y = x^{7}$
are plotted on the following graph.
Which polynomial is represented by graph 1?