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 .