1.4 Continuity and One-Sided Limits

Use the graph to determine each limit, and discuss the

continuity of the function.

• a) 4 b) 4 c) 4

  The function is continuous at x = 3 and is continuous on (-∞,∞)

• a) 3 b) 3 c) 3

  The function is continuous at x = 3 and is continuous on (-∞,∞)

• a) 3 b) 3 c) 3

  The function is continuous at x = 4 and is continuous on (-∞,∞)

• a) 4 b) 4 c) 4

  The function is continuous at x = 4 and is continuous on (-∞,∞)

Use the graph to determine each limit, and discuss the continuity of the function.

• a) 1 b) 1 c) 1

  The function is continuous at x = 3 and is continuous on (-∞,∞)

• a) 1 b) 1 c) 1

  The function is NOT continuous at x = 3

• a) 0 b) 0 c) 0

  The function is continuous at x = 3 and is continuous on (-∞,∞)

• a) 0 b) 0 c) 0

  The function is NOT continuous at x = 3

Use the graph to determine each limit, and discuss the continuity of the function.

• a) 3 b) -3 c) 2

  The function is continuous at x = 3 and is continuous on (-∞,∞)

• a) 3 b) -3 c) DNE

  The function is continuous at x = -3 and is continuous on (-∞,∞)

• a) -3 b) 3 c) DNE

  The function is NOT continuous at x = 2

• a) 3 b) -3 c) 2

  The function is NOT continuous at x = 2

Tags

CCSS.HSF-IF.C.7B

Find the limit if it exists

• 1/8

• 1/16

• 1/32

• DNE

Find the limit if it exists

• 0

• 1/10

• 1/25

• DNE

Find the removable and non-removable discontinuities

• removable: x + 5 non-removable: x - 5

• removable: x - 5 non-removable: x + 5

• removable: x² - 25 non-removable: DNE

Tags

CCSS.HSF-IF.C.7D

Find the removable and non-removable discontinuities

• removable: x - 4 non-removable: x + 4

• removable: x + 4 non-removable: x - 4

• removable: x² - 16 non-removable: x² + 16

• removable: x² + 16 non-removable: x² - 16

Tags

CCSS.HSF-IF.C.7D

Find the endpoints of the following equation,

16 - x²= 0

• [0, 16]

• [-16, 16]

• [0, 4]

• [-4, 4]

Find the endpoints of the following equation,

• [-81, 9]

• [-81, 81]

• [-9, 9]

• [3, -3]