The largest interval in which the function is continuous is given by:
(-∞, -3).
<h3>What is the continuity concept?</h3>
A function f(x) is continuous at x = a if it is defined at x = a, and:

A function is also not continuous for the values of x which are outside the domain of the function, hence a fraction is not continuous at the zeroes of the denominator.
In this problem, the zeroes of the denominator of the function are:
x = -3, x = 4.
Hence the continuity intervals are:
The largest one is the first, as |-3| < |4|, meaning that it is a <u>larger distance from infinity</u>.
More can be learned about the continuity of a function at brainly.com/question/24637240
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