(1 pt) Select all statements that are correct. There may be more than one correc
ID: 2879590 • Letter: #
Question
(1 pt) Select all statements that are correct. There may be more than one correct answer. The statements may appear in what seems to be a random order
A. Rational functions are continuous on every interval in which their denominators are not zero.
B. The Intermediate Value Theorem states that if f is any function and if k is any number between f(a) and f(b), then there is at least one number c in the interval [a,b] such that f(c)=k.
C. Rational functions are continuous on every interval.
D. The Intermediate Value Theorem states that if f is a function that is continuous on a closed interval [a,b] and if k is any number between f(a) and f(b), then there is at least one number c in the interval [a,b] such that f(c)=k.
E. Exponential functions, polynomials, and the sine and cosine functions are continuous on every interval.
F. None of the above
Explanation / Answer
The following statements are correct.
A. Rational functions are continuous on every interval in which their denominators are not zero.
D. The Intermediate Value Theorem states that if f is a function that is continuous on a closed interval [a,b] and if k is any number between f(a) and f(b), then there is at least one number c in the interval [a,b] such that f(c)=k.
E. Exponential functions, polynomials, and the sine and cosine functions are continuous on every interval.
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