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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
2 Nov 2021

Given information

function is continuous on its domain. 

Step-by-step explanation

Step 1.

We want to split the function up into a few other functions. This makes us able to analyze the entire function by analyzing these smaller functions.

Let   where

Because   is a root function,   is a polynomial function, and   is a rational function, they are all continuous on their entire domains.

  can not be performed on negative numbers, so its domain is  . The domain of   is all reals, but   is continuous on all reals where   . 

  is continuous on the interval

  is continuous on the interval

  is continuous on the intervals .  

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