The graph #y=x^5# is an odd function and has an intercept at #(0,0)#. It is basically the #y=x^3# but narrower. The ends are more upright.
Heads up: If you have a function and its degree is an odd number ie #y=x^3+3x+5# so #x^3# part or #y=x^5+5x+247# so #x^5# part or #y=x^7+1# so #x^7# part, then you have an odd function. What that means is that the ends of your graph simply point in opposite directions
REMEMBER: At #(0,0)#, make sure you draw it flatter since at that point, it is technically a stationary point of inflexion.
Below is #y=x^5#
graph{x^5 [-10, 10, -5, 5]}
For comparison, this is #y=x^3# (1st graph) and #y=x^11# (2nd graph). Notice that at the vertex, it is flatter and the general shape of the graph is narrower
graph{x^3 [-10, 10, -5, 5]}
graph{x^11 [-10, 10, -5, 5]}
