Question: (a) Graph the given function, (b) find all values of x where the function is discontinuous, and (c) find the limit from the left and
(a) Graph the given function, (b) find all values of x where the function is discontinuous, and (c) find the limit from the left and the right at any values of x where the function is discontinuous. g(x)equals=StartSet Start 3 By 2 Matrix 1st Row 1st Column 2 2nd Column if x less than minus 3 Superscript 2nd Row 1st Column x squared plus 1 2nd Column ModifyingAbove if minus 3 less than or equals x less than or equals 1 With font size decreased by 3 3rd Row 1st Column 2 2nd Column if x greater than 1 Superscript EndMatrix 2 if x1 Question content area bottom Part 1 (a) Choose the correct graph of the function. A. -8 -4 4 8 -5 5 10 15 x y A coordinate system has a horizontal x-axis labeled from negative 8 to 8 in increments of 1 and a vertical y-axis labeled from negative 5 to 15 in increments of 1. A graph consists of two rays and a curve. A horizontal ray extends to the left from the closed point (negative 3, 2). A curve falls from left to right from the open point (negative 3, 10) to a minimum at the point (0, 1) and then rises to the point (1, 2). A horizontal ray extends to the right from the point (1, 2). B. -8 -4 4 8 -5 5 10 15 x y A coordinate system has a horizontal x-axis labeled from negative 8 to 8 in increments of 1 and a vertical y-axis labeled from negative 5 to 15 in increments of 1. A graph consists of two rays and a curve. A horizontal ray extends to the left from the open point (negative 3, 2). A curve falls from left to right from the closed point (negative 3, 10) to a minimum at the point (0, 1) and then rises to the point (1, 2). A horizontal ray extends to the right from the point (1, 2). C. -8 -4 4 8 -5 5 10 15 x y A coordinate system has a horizontal x-axis labeled from negative 8 to 8 in increments of 1 and a vertical y-axis labeled from negative 5 to 15 in increments of 1. A graph consists of two rays, a line segment, and a curve. A horizontal ray extends to the left from the point (negative 3, 2). A vertical line segment extends from the point (negative 3, 2) to the point (negative 3, 10). A curve falls from left to right from the point (negative 3, 10) to a minimum at the point (0, 1) and then rises to the open point (1, 2). A horizontal ray extends to the right from the open point (1, 2). Part 2 (b) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The function is discontinuous at xequals=enter your response here. (Use a comma to separate answers as needed.) B. The function is continuous for all values of x. Part 3 (c) Find the limit or limits from the left and from the right for any values of x found in part (b). Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. The limit(s) from the left is/are enter your response here. The limit(s) from the right is/are enter your response here. (Use a comma to separate answers as needed.)
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