Question

Which graph shows a polynomial function of an even degree?

Answer 1

Of course the answer would be the first option. If you observe, it is the only graph having the same endpoints pointing downward which means positive and even. If it's an odd degree, the endpoints of the graph will be different- either up-down or down-up. So the first option is the ckrrect answer. Just take note that the graph will be a hint that can tell you if it has an even or odd degree.

Answer 2

The definition of a even function is:
A function is even if, for each x in the domain of f, f (- x) = f (x).
The even functions have reflective symmetry through the y-axis.
We have then that the graph that meets this definition is:
graph 1 (from left to right)
Answer:
graph 1 (from left to right)