Calculus Limits and Continuity

Using the graph, what is the limit of f(x) as x approaches 0?

• Does not exist

• –6

• 4

• 3

What is the limit of the function as x approaches 1 from the right?

• DNE
• 1
• 4
• -2

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Find the limit as x approaches -2.

• 4

• 3

• 2

• DNE

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.B.3

Which of the following best describes the continuity at x = 1?

• Continuous

• Hole Discontinuity

• Asymptote Discontinuity

• Jump Discontinuity

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

• Continuous

• Hole Discontinuity

• Asymptote Discontinuity

• Jump Discontinuity

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

Which of the following best describes the continuity at x = 0?

• Continuous

• Hole Discontinuity

• Asymptote Discontinuity

• Jump Discontinuity

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

• The function must be invertible

For a limit to exist, the left and the right hand limits must be equal.

• true

• false

What value of A makes the function have a slope of 6 at x = –3.

• 0

• 12

• 6

• 9

• None of the others