Determine the values of x, if any, at which the function is discontinuous. At each number...

 

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Determine the values of x, if any, at which the function is discontinuous. At each number where f is discontinuous, state the condition(s) for continuity that are violated. (Select all that apply.) f(x) = |x-1| * The function f is discontinuous at x = The function f is discontinuous at x = The function f is discontinuous at x = because f is not defined at x = 1. 1 because lim f(x) does not exist. X 1 because lim f(x) exists, but this limit is not equal to f(1). x 1 The function f is continuous everywhere because the three conditions for continuity are satisfied for all values of x. X Determine the values of x, if any, at which the function is discontinuous. At each number where f is discontinuous, state the condition(s) for continuity that are violated. (Select all that apply.) - 19. [0/1 Points] U U f(x) = DETAILS X - 1 X + 1 PREVIOUS ANSWERS if x # -1 1 if x = -1 X TANAPCALCBR10 2.5.044. The function f is discontinuous at x = -1 because f is not defined at x = -1. The function f is discontinuous at x = -1 because lim f(x) does not exist. x-1 The function f is discontinuous at x = -1 because lim f(x) exists, but this limit is not equal to f(-1). x-1 The function f is continuous everywhere because the three conditions for continuity are satisfied for all values of x. 20. [0/1 Points] x = -2 O x < -2 O x > -2 Find the values of x for which the function is continuous. O O x > 0 f(x) DETAILS = 9 X +4 PREVIOUS ANSWERS all real numbers TANAPCALCBR10 2.5.047. You may have misread the denominator of the given function. Does the denominator ever equal 0? Determine the values of x, if any, at which the function is discontinuous. At each number where f is discontinuous, state the condition(s) for continuity that are violated. (Select all that apply.) f(x) = |x-1| * The function f is discontinuous at x = The function f is discontinuous at x = The function f is discontinuous at x = because f is not defined at x = 1. 1 because lim f(x) does not exist. X 1 because lim f(x) exists, but this limit is not equal to f(1). x 1 The function f is continuous everywhere because the three conditions for continuity are satisfied for all values of x. X Determine the values of x, if any, at which the function is discontinuous. At each number where f is discontinuous, state the condition(s) for continuity that are violated. (Select all that apply.) - 19. [0/1 Points] U U f(x) = DETAILS X - 1 X + 1 PREVIOUS ANSWERS if x # -1 1 if x = -1 X TANAPCALCBR10 2.5.044. The function f is discontinuous at x = -1 because f is not defined at x = -1. The function f is discontinuous at x = -1 because lim f(x) does not exist. x-1 The function f is discontinuous at x = -1 because lim f(x) exists, but this limit is not equal to f(-1). x-1 The function f is continuous everywhere because the three conditions for continuity are satisfied for all values of x. 20. [0/1 Points] x = -2 O x < -2 O x > -2 Find the values of x for which the function is continuous. O O x > 0 f(x) DETAILS = 9 X +4 PREVIOUS ANSWERS all real numbers TANAPCALCBR10 2.5.047. You may have misread the denominator of the given function. Does the denominator ever equal 0?