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Calculus AB Assignment Continuity Problems Copyright © 2021 Apex Learning. See Terms of Use for further information. Images of the TI-84 calculator are used with the permission of Texas Instruments Incorporated. Copyright © 2011 Texas Instruments Incorporated. 1. Given f ( x ) = x 4 + 17 6 x 2 + x - 1 , identify any points of discontinuity, and determine (giving reasons) if they are removable, infinite (essential), or jump discontinuities. (2 Points) 2. Suppose f ( x ) = ( x - 1 ) 2 x + 1 x 2 - 2 x - 8 x - 4 if x < 2 if 2 :'. x < 4 . 1 x - 3 + 5 if 4 :'. x Identify any points of discontinuity, and determine (giving reasons) if they are removable, infinite (essential), or jump discontinuities. (4 Points) 3. Suppose f ( x ) = [ sin ( x 2 - 4 )] - 1 . Identify any points of discontinuity, and determine (giving reasons) if they are removable, infinite (essential), or jump discontinuities. (3 Points)

Calculus AB Assignment Continuity Problems Copyright © 2021 Apex Learning. See Terms of Use for further information. Images of the TI-84 calculator are used with the permission of Texas Instruments Incorporated. Copyright © 2011 Texas Instruments Incorporated. 4. Suppose f ( x ) = x - 1 x 4 - 1 | x - 3| x - 3 if x :'. 2 . if 2 < x Identify any points of discontinuity, and determine (giving reasons) if they are removable, infinite (essential), or jump discontinuities. (6 Points) 5. Find all the constants a that make the function f ( x ) = 3 ( a - x ) if x < 3 a 2 - x 2 if x � 3 continuous for all x . (2 Points) 6. Given g ( x ) = x 3 - 2 x + 2 if x :'. - 2 x 2 + ax + b if - 2 < x < 1 , 4 x 4 - 3 x 3 - 5 x + 2 if 1 :'. x find values for a and b so that the function is continuous for all x . (4 Points) 7. Determine whether each function is continuous or discontinuous. A. First class postage, as a function of weight. (1 Point)