Determine the points in the interval ​(11​,66​) at which the function has a discontinuity. At each point of​ discontinuity, state the conditions in the continuity checklist that are violated. 1.​ f(a) is defined​ (a is in the domain of​ f). 2. ModifyingBelow lim With x right arrow alimx→a ​f(x) exists. 3. ModifyingBelow lim With x right arrow a f left parenthesis x right parenthesis equals f left parenthesis a right parenthesislimx→a f(x)=f(a) ​(the value of f equals the limit of f at​ a). 0 3 6 0 3 6 x y y equals f left parenthesis x right parenthesisy=f(x)

A coordinate system has a horizontal x-axis from 0 to 6 in increments of 1 and a vertical y-axis from 0 to 6 in increments of 1. A dashed vertical line passes through (2, 0). A graph labeled y equals f(x) has three branches. The first branch starts at an open circle at (1, 2). As x approaches 2 from the left, the first branch rises more and more steeply toward infinity. The second branch is to the right of the dashed vertical line and falls more and more shallowly from left to right until it ends at an open circle at (3, 2). As x approaches 2 from the right, the second branch rises toward infinity. From left to right, the third branch starts at a closed circle at (3, 3), rises linearly through an open circle at (4, 4) to (5, 5), and then falls linearly until it ends at an open circle at (6, 0). Question content area bottom Part 1 ​f(x) is discontinuous at xequals=enter your response here. ​(Use a comma to separate answers as​ needed.)