The figure to the right shows the graph of a function over the closed interval D:...
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The figure to the right shows the graph of a function over the closed interval D: -4x2. a. At what domain points does the function appear to be differentiable? b. At what domain points does the function appear to be continuous but not differentiable? c. At what domain points does the function appear to be neither continuous nor differentiable? Give reasons for your answers. Part 2 of 4 Points: 0.69 of 1 a. The function appears to be differentiable on [-4,-3)U(-3,-1)U(-1,1)U(1,2]. (Use interval notation.) Give reasons for why each point is or is not excluded the set of points where the function is differentiable. The point x=-4 is not excluded because the right-hand derivative exists. The point x = -3 is excluded because the left- and right-hand derivatives do not exist. The point x=-1 is excluded because the left- and right-hand derivatives are different. The point x=1 is excluded because the left- and right-hand derivatives do not exist. The point x=2 is not excluded because the left-hand derivative exists. 3 S Ay -5-4-3-2-10 2 3 2 Save The figure to the right shows the graph of a function over the closed interval D: -4x2. a. At what domain points does the function appear to be differentiable? b. At what domain points does the function appear to be continuous but not differentiable? c. At what domain points does the function appear to be neither continuous nor differentiable? Give reasons for your answers. Part 2 of 4 Points: 0.69 of 1 a. The function appears to be differentiable on [-4,-3)U(-3,-1)U(-1,1)U(1,2]. (Use interval notation.) Give reasons for why each point is or is not excluded the set of points where the function is differentiable. The point x=-4 is not excluded because the right-hand derivative exists. The point x = -3 is excluded because the left- and right-hand derivatives do not exist. The point x=-1 is excluded because the left- and right-hand derivatives are different. The point x=1 is excluded because the left- and right-hand derivatives do not exist. The point x=2 is not excluded because the left-hand derivative exists. 3 S Ay -5-4-3-2-10 2 3 2 Save
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