Test Limits and Continuity

Which of the following best describes the continuity at x = 5?

• Continuous
• Removable Point Discontinuity
• Non-removable Infinite Discontinuity
• Non-removable Jump Discontinuity

Tags

CCSS.HSF-IF.C.7D

Classify the function as continuous or classify its discontinuity.

• Continuous!

• Discontinuous with a removable discontinuity

• Discontinuous with a jump discontinuity

• Discontinuous with an infinite discontinuity

Tags

CCSS.HSF-IF.C.7B

Which of the following must be true for a function to be continuous at a point, a? (select all that apply)

• f(a) must exist

• the limit as x approaches a must exist

• the function has to go to infinity

• f(a) and the limit as x approaches a must be equal

• you won't need to do any factoring/simplifying when finding the limit

Name the discontinuity at x=2. 

• Infinite Discontinuity
• Removable Discontinuity
• Jump Discontinuity
• Continuous at x=2

Tags

CCSS.HSF-IF.C.7B

Name the discontinuity at x=2. 

• Infinite Discontinuity
• Removable Discontinuity
• Jump Discontinuity
• Continuous at x=2

Tags

CCSS.HSF-IF.C.7B

Name the discontinuity at x=2. 

• Infinite Discontinuity
• Removable Discontinuity
• Jump Discontinuity
• Continuous at x=2

Tags

CCSS.HSF-IF.C.7B

Name the discontinuity at x=2. 

• Infinite Discontinuity
• Removable Discontinuity
• Jump Discontinuity
• Continuous at x=2

Tags

CCSS.HSF-IF.C.7D

Find the limit as x approaches 1⁺

• 1

• -1

• -3

• Infinity

• DNE

Tags

CCSS.HSF-IF.C.7B

Which of the following statements are false?

• f(a) exists

• the limit as x approaches a exists

• f is continuous at a

• None, all statements are true

Find the value of α that makes f(x) continuous at x=2.

• 0

• 1

• 2

• No such value exists

Tags

CCSS.HSF-IF.C.7B