Question: Determine the points in the interval (1, 6) at which the function has discontinuities. For each point state the conditions in the continuity checklist that
Determine the points in the interval (1, 6) at which the function has discontinuities. For each point state the conditions in the continuity checklist that are violated. In order for f to be continuous at a, the following three conditions must hold. 1. f(a) is defined (a is in the domain of f). 2. ModifyingBelow lim With x right arrow a f(x) exists. 3. ModifyingBelow lim With x right arrow a f left parenthesis x right parenthesis equals f left parenthesis a right parenthesis (the value of f equals the limit of f at a). 0 2 4 6 0 2 4 6 x y A coordinate system has a horizontal x-axis labeled from 0 to 6 in increments of 1 and a vertical y-axis labeled from 0 to 6 in increments of 1. A dashed vertical line passes through (2, 0). From left to right, a smooth curve rises at an increasing rate from an open circle at (1, 2), approaching the dashed vertical line from the left. From right to left, a smooth curve rises at an increasing rate from an open circle at (3, 2), approaching the vertical dashed line from the right. From left to right, a line segment rises from a closed circle at (3, 3) through an open circle at (4, 4) to (5, 5), and another line segment falls from (5, 5) to an open circle at (6, 1). . . . Question content area right Part 1 f(x) is discontinuous at xequals enter your response here. (Use a comma to separate answers as needed.)
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