Extra Review for T1 Final Exam

Select the type(s) of discontinuity.

• infinite

• removable

• jump

• all

Select the continuity interval.

• (-∞,-3) U (-3,2) U (2,7) U (7,∞)

• (-∞,-3) U (-3,2) U (2,∞)

• (-∞,-4) U (-4,1) U (1,7) U (7,∞)

• (-∞,1) U (1,∞)

Match the following

• ∞

• 1

• DNE

• 42/25

• 0

Answer explanation

• -1/4

• 119/64

• 61/26

• -283/16

Answer explanation

Compress vertically by 1/2, reflect over y-axis, compress horizontally by 1/3, right 4/3, down 7.

• (-3x+4 , 1/2y-7)

• (-1/3x+4/3 , 2y+7)

• (-3x-4/3 , 1/2y-7)

• (-1/3x+4/3 , 1/2y-7)

• D: (-∞, 4]

  R: [-7, ∞)

• D: (-∞, 4/3]

  R: [-7, ∞)

• D: (-∞, 4/3]

  R: (-∞, -7]

• D: [4/3,∞)

  R: [-7, ∞)

State the domain of the piecewise.

• (-∞, -4) U [-4, 1] U (1, ∞)

• (-∞, ∞)

• (-∞, -4] U [-4, 1] U [1, ∞)

• (-∞, -4] U [1, ∞)

Graph the piecewise function.

Answer explanation