we can use properties of functions to find this out
for [tex]f(x)=ax^b[/tex]
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 [tex]f(x)=\frac{1}{2}x^5[/tex]
a=1/2>0
b=5 which is odd
so it goes from bottom left to top right
top right graph is yo answer
