Answer:
3. The graph opening upwards
Step-by-step explanation:
We are given the function [tex]y=x^{n}[/tex], where n is even.
Now, we know that a polynomial function given by,
[tex]y=a_{n}x^{n}+a_{n-1}x^{n-1} + .... + a_{1}x + a_{0}[/tex].
Also, when the polynomial function has an even degree ( i.e. n = even ) with leading co-efficient positive ( i.e. [tex]a_{0}[/tex] > 0 ), its graph opens upwards.
As, we have that [tex]y=x^{n}[/tex] is also a polynomial function with degree ( n ) given to be even and the leading co-efficient is 1 > 0.
Hence, the graph of [tex]y=x^{n}[/tex] will open upwards.
So, we get that the graph in figure 3 is the correct option.
