Question

Considering the graph of the polynomial $x^n$, what can be the possible value of $n$?

• A. 2
• B. 4
• C. 5
• D. 6

Answer 1

The correct option is C

5

For polynomials of the form $x^n$, where $n$ is an odd number, the graph will be as follows:


As we see, a part of the graph is in the third quadrant, and the rest of the graph is in the first quadrant when $n$ is odd in the polynomial $x^n$.

Therefore, observing the graph given in the question, the value of $n$ must be odd.

Hence, $n=5$.