Three curves i.e.
a) $y = x^{2}$
b) $y = x^{4}$
c) $y = x^{6}$
are depicted in the graph shown below. Which of the polynomials does the graph 3 represent?

y = x^{2}

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y = x^{4}

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y = x^{6}

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cannot be determined

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Solution

The correct option is C $y = x^{6}$
Consider the polynomial $x^{n}$ where $n$ is a positive even integer.

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

Thus, the graph 3 represents the polynomial $x^{6}$

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Three curves i.e. a) y=x2 b) y=x4 c) y=x6 are depicted in the graph shown below. Which of the polynomials does the graph 3 represent?

The correct option is C y=x6Consider the polynomial xn where n is a positive even integer. As the value of n increases, then the curve goes closer to the positive y-axis. Thus, the graph 3 represents the polynomial x6

Three curves i.e.
a) $y = x^{2}$
b) $y = x^{4}$
c) $y = x^{6}$
are depicted in the graph shown below. Which of the polynomials does the graph 3 represent?

The correct option is C $y = x^{6}$
Consider the polynomial $x^{n}$ where $n$ is a positive even integer.

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

Thus, the graph 3 represents the polynomial $x^{6}$