Question

Can you please help me with the cubic root function

Answer 1

Step-by-step explanation

Domain:

`\mathrm{The\: function\: range\: is\: the\: combined\: domain\: of\: the\: inverse\: functions}`
`\mathrm{Find\: the\: inverse\: function}\mleft(\mathrm{s}\mright)\mathrm{\: of\colon}\: \sqrt[3]{x}`
`\mathrm{A\: function\: g\: is\: the\: inverse\: of\: function\: f\: if\: for}\: y=f\mleft(x\mright),\: \: x=g\mleft(y\mright)\:`
`y=\sqrt[3]{x}`

Replace x with y:

`x=\sqrt[3]{y}`
`x^3`
`Find\: the\: domain\: of\: each\: inverse\: function`
`\mathrm{Combine\: the\: intervals}`
`-\infty\: <strong>Even or odd function</strong><strong>:</strong>[tex]\mathrm{Even\: Function\colon\: \: A\: function\: is\: even\: if\: }f\mleft(-x\mright)=f\mleft(x\mright)\mathrm{\: for\: all\: }x\in\mathbb{R}`
`\mathrm{Odd\: Function\colon\: \: A\: function\: is\: odd\: if\: }f\mleft(-x\mright)=-f\mleft(x\mright)\mathrm{\: for\: all\: }x\in\mathbb{R}`

In this case, the function is ODD.

Increasing on:

The function is increasing on the interval 0