Answer:
![y=x^3](https://img.qammunity.org/2019/formulas/mathematics/middle-school/buwe09ed777vwvs4rhtykpckw1lw9u3ylt.png)
Explanation:
A function is an even polynomial function when f(-x) is equal to f(x)
Lets check each option, replace x with -x and see whether we get same y equation
, Replace x with -x
, for any x value the value of y is positive always. So it is an even function
![y=x^2](https://img.qammunity.org/2019/formulas/mathematics/college/d6yj4vuw6rwk9md79lfurceiz9aevbe7m4.png)
same as the given equation . So it is an even function
![y=x^3](https://img.qammunity.org/2019/formulas/mathematics/middle-school/buwe09ed777vwvs4rhtykpckw1lw9u3ylt.png)
It is not same as the given equation . So it is not an even function
![y=-x^2](https://img.qammunity.org/2019/formulas/mathematics/high-school/ycjkjsi00d7n0w8hptm67qh4e3bgc5pl0z.png)
same as the given equation . So it is an even function