A. True or False. Write T if the statement is TRUE, otherwise write F. 1. The function f(x) = discontinuity. 2. Trigonometric functions are continuous everywhere. 3. Suppose f is continuous on a closed interval [a, b], and f(a) and f(b) have opposite signs, then there exists at most one number c which is an element of [a, b] for which f(c) = 0. 4. Suppose f is discontinuous at x = a. We say that x = a is a jump discontinuity if lim,a+ f(x) = L,and lim,a- f(x) = L2 and L1 + L2 5. A function fhas a removable discontinuity at x = a if lim,-a f(x) # f(a) only. is an example of a removable 4x-1

A. True or False. Write T if the statement is TRUE, otherwise write F. 1. The function f(x) = discontinuity. 2. Trigonometric functions are continuous everywhere. 3. Suppose f is continuous on a closed interval [a, b], and f(a) and f(b) have opposite signs, then there exists at most one number c which is an element of [a, b] for which f(c) = 0. 4. Suppose f is discontinuous at x = a. We say that x = a is a jump discontinuity if lim,a+ f(x) = L,and lim,a- f(x) = L2 and L1 + L2 5. A function fhas a removable discontinuity at x = a if lim,-a f(x) # f(a) only. is an example of a removable 4x-1

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.3: More On Functions; Piecewise-defined Functions

Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...

See similar textbooks