Explain why the following functions are continuous on the given open intervals:

(a) f(x) = 3x
2 + 7
x − 4
on (4,∞).

2 answers

not sure how to interpret the three lines as a definition of f(x)
If f(x) = 3x, then it is a polynomial, so continuous everywhere.
@oobleck I think the function is supposed to be f(x) = 3x^2+7x-4, but it doesn't really change much.

Since the function is a polynomial, it is continuous not only on the interval, but everywhere else.
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