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AssignmentMultiple Choice

Continuous Functions and Intermediate Value Theorem

Question 2 • AP Calculus AB - MA5186 A

Which is the total interval where the function f(x) = 2x is continuous?

Answer
A
(–∞, 0)
B
(0, +∞)
C
(–∞, +∞)
D
(–∞, –1)

Explanation

The function f(x) = 2x is a linear function, and linear functions are continuous for every real number. There are no breaks or excluded x-values, so its total interval of continuity is (–∞, +∞), choice C.

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