Sketch the graphs of $y = 2x^6$ and $y = -x^3$, noting their respective domains and ranges. The

Question

Sketch the graphs of $y = 2x^6$ and $y = -x^3$, noting their respective domains and ranges. The graph of $y = 2x^6$ is given below: The graph of $y = -x^3$ is given below:

Accepted Answer

$y=2x^6$: domain $\mathbb R$, range $[0,\infty)$. $y=-x^3$: domain and range $\mathbb R$. See the two sketches.

Graphs of positive integral power function

Graphs of positive integral power function

Solution:

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