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Can you please help me with the cubic root function

Can you please help me with the cubic root function-example-1
User SvenL
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1 Answer

5 votes

Step-by-step explanation

Domain:


The\: domain\: of\: a\: function\: is\: the\: set\: of\: input\: or\: argument\: values\: for\: which\: the\: function\: is\: real\: and\: defined
\mathrm{The\: function\: has\: no\: undefined\: points\: nor\: domain\: constraints.\: \: Therefore,\: \: the\: domain\: is}
-\infty\: <strong>Range:</strong>[tex]\mathrm{The\: set\: of\: values\: of\: the\: dependent\: variable\: for\: which\: a\: function\: is\: defined}
\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

User Skulaurun Mrusal
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