What is the range of \sqrt[3]{x} ?

The range of \sqrt[3]{x} is -infinity <f(x)<infinity

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range of \sqrt[3]{x}

range

- \infty < f (x) < \infty

Interval Notation

(- \infty, \infty)

Solution steps

The function range is the combined domain of the inverse functions

Find the inverse function(s) of:

Inverse of

x^{3}

Find the domain of each inverse function

Domain of

x^{3} : - \infty < x < \infty

Combine the intervals

- \infty < f (x) < \infty

- 5 y = - 6

f (x) = x \cdot sin (2 x)

y = x^{2} - 10 x + 25

\frac{( X - 1 )}{( \frac{5}{X - 3} )}

y = 2 x - 7

What is the range of \sqrt[3]{x} ?
The range of \sqrt[3]{x} is -infinity <f(x)<infinity