we can use properties of functions to find this out
for
![f(x)=ax^b](https://img.qammunity.org/2019/formulas/mathematics/high-school/5fts81owie3g5yztapjcse8qjkz97jwfmx.png)
if b is even, then the ends of the function go in the same directions (both up or both down)
if b is odd, then the ends of the function go in different directions (one up and one down)
if a is positive and b is even, then both ends point up
if a is positve and b is odd, then it goes from bottom left to top right
if a is negative and b is even, then both ends point down
if a is negative and b is odd, then it goes from top left to bottom right
given
![f(x)=5x^4](https://img.qammunity.org/2019/formulas/mathematics/high-school/evu17fjljmbpqrudvisvav9ghdzv7s6jcb.png)
a=5>0
b=4 which is even
so it has both ends pointing up
bottom right graph is yo answer