Question

What do the graphs of the two even degree functions (y = x^2 and y = x^4) have in common?

Answer 1

We have been given two functions $y=x^2$ and $y=x^4$.

Now questions is asking about what do the graphs of the two even degree functions $y=x^2$ and $y=x^4$ have in common.

By property of even edgree polynomial we know that if it starts from top then it will also end at the top.

If it starts from bottom then it will also end in bottom.

In simple words, we can says that even degree polynomial starts and ends in same direction.

Given functions $y=x^2$ and $y=x^4$ are also even degree polynomial so common thing about them is that they will start and end in the same direction. (Upward). You can also check the attached graph of both for better guidance.