Match three of the below statements to the definition of f that makes them true, and identify the statement that is never true. is true if f(x) = is not true of any function is true if f(x) = x2 - 6x +1 x < 5 -4 x=5 4x20 x>5 is true if f(x) = 22-6x+4 x < 5 x=5 x>5 5 52 – 26 x² 1 3x - 14 8x+16 x < 5 x=5 x>5 1. The limit lim 5 f(x) does not exist but the function is continuous at x = 5 2. The limit lim 5 f(x) exists but the function is not continuous at x = 5 3. The limit lim 5 f(x) exists and the function is continuous at x = 5 4. The limit limx→5 f(x) does not exist and the function is not continuous at a = 5
Match three of the below statements to the definition of f that makes them true, and identify the statement that is never true. is true if f(x) = is not true of any function is true if f(x) = x2 - 6x +1 x < 5 -4 x=5 4x20 x>5 is true if f(x) = 22-6x+4 x < 5 x=5 x>5 5 52 – 26 x² 1 3x - 14 8x+16 x < 5 x=5 x>5 1. The limit lim 5 f(x) does not exist but the function is continuous at x = 5 2. The limit lim 5 f(x) exists but the function is not continuous at x = 5 3. The limit lim 5 f(x) exists and the function is continuous at x = 5 4. The limit limx→5 f(x) does not exist and the function is not continuous at a = 5
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.7: Combining Functions
Problem 5E: Let f and g be functions. (a) The function (f+g)(x) is defined for all values of x that are in the...
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