Which of the following could be the graph of y = xn where n is even?

3. The graph opening upwards

Step-by-step explanation:

We are given the function , where n is even.

Now, we know that a polynomial function given by,

.

Also, when the polynomial function has an even degree ( i.e. n = even ) with leading co-efficient positive ( i.e. > 0 ), its graph opens upwards.

As, we have that is also a polynomial function with degree ( n ) given to be even and the leading co-efficient is 1 > 0.

Hence, the graph of   will open upwards.

So, we get that the graph in figure 3 is the correct option.