ExamName___________________________________MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.The figure shows the graph of a function. At the given value of x, does the function appear to be differentiable,continuous but not differentiable, or neither continuous nor differentiable?1)x = 0x-4 -2 2 4y42-2-4x-4 -2 2 4y42-2-4A)DifferentiableB)Continuous but not differentiableC)Neither continuous nor differentiable1)2)x = 0x-4 -2 2 4y42-2-4x-4 -2 2 4y42-2-4A)DifferentiableB)Continuous but not differentiableC)Neither continuous nor differentiable2)13)x = -1x-4 -2 2 4y42-2-4x-4 -2 2 4y42-2-4A)DifferentiableB)Continuous but not differentiableC)Neither continuous nor differentiable3)4)x = 1x-4 -2 2 4y42-2-4x-4 -2 2 4y42-2-4A)DifferentiableB)Continuous but not differentiableC)Neither continuous nor differentiable4)If the function is not differentiable at the given value of x, tell whether the problem is a corner, cusp, vertical tangent, ora discontinuity.5)y = -6x - 1, at x = 0A)vertical tangentB)cornerC)cuspD)function is differentiable at x = 05)6)y = 7x + 7, at x = -7A)cuspB)discontinuityC)cornerD)function is differentiable at x = -76)27)y = 2 - 3x, at x = 0A)cuspB)vertical tangentC)discontinuityD)function is differentiable at x = 07)8)y = 3x + 5 , at x = -5A)cornerB)vertical tangentC)cuspD)function is differentiable at x = -58)Determine the values of x for which the function is differentiable.9)y = -7x + 5A)All reals except 0.71428571B)All reals except -7C)All reals except 5D)All reals9)10)y = -4x + 6A)All reals except -4B)All realsC)All reals except -6D)All reals except 610)11)y = 1x2 - 81A)All realsB)All reals except 81C)All reals except -9 and 9D)All reals except 911)12)y = x2 - 64A)All realsB)All reals except 64C)All reals except 8D)All reals except -8 and 812)13)y = 1x2 + 4A)All reals except -2 and 2B)All realsC)All reals except 4D)All reals except 213)14)y = x - 3A)All reals except 3B)All reals greater than 3C)All reals greater than or equal to 3D)All reals greater than -314)15)y = x2 + 16A)All reals except 4B)All reals except -4 and 4C)All reals except 16D)All reals15)3Answer KeyTestname:
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