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Determine the range of the function [tex]\displaystyle f(x)=a\sqrt[3]{bx-c}+d[/tex].

Sagot :

leena

Hi there!

[tex]\large\boxed{(-\infty, \infty)}}[/tex]

We are given the function:

[tex]f(x) = a\sqrt[3]{bx-c}+d[/tex]

This is the transformation form of a cubic root function. Recall these properties of cubic root functions:

Domain: -∞ < x < ∞ (all real numbers)

Range: -∞ < x < ∞ (all real numbers)

Therefore, the range of the given function is all real numbers, or on (-∞, ∞).

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