Question

How do you graph `y=x^5`?

Answer 1

below

Explanation:

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]}