The graph y=x^5y=x5 is an odd function and has an intercept at (0,0)(0,0). It is basically the y=x^3y=x3 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+5y=x3+3x+5 so x^3x3 part or y=x^5+5x+247y=x5+5x+247 so x^5x5 part or y=x^7+1y=x7+1 so x^7x7 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)(0,0), make sure you draw it flatter since at that point, it is technically a stationary point of inflexion.
Below is y=x^5y=x5
graph{x^5 [-10, 10, -5, 5]}
For comparison, this is y=x^3y=x3 (1st graph) and y=x^11y=x11 (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]}
