Which of the following statements are TRUE? (Select all that apply.)  多项选择题

A

All trigonometric functions are continuous at every point in their domain

B

All polynomials are continuous at every point in  𝑅 .

C

All rational functions are continuous at every point in their domain

D

The function 𝑓 ( 𝑥 ) = 5 𝑥 + 4 𝑥 2 − 3 is a rational function, and it is continuous at every point in 𝑅 .

E

All piecewise defined functions are continuous at every point in their domain

F

All polynomials are continuous at every point in their domain

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