Quiz- Continuity and Differentiability

Where is the graph not differentiable?

• x = -2, -1, 0, 1
• x = -2, -1, 1
• x = -2, -1
• x = -1, 

If f has a derivative at x = a, then f is continuous at x = a?

• True
• False

A function whose graph is otherwise continuous will fail to have a derivative at a point where the graph has a...

• corner, cusp, horizontal tangent, discontinuity
• corner, cusp, vertical tangent, continuity
• corner, cusp, vertical tangent, discontinuity
• corner, curve, vertical tangent, continuity

Where is the graph continuous yet NOT differentiable?

• x = a, b, c, d
• x = b, c, d
• x = a, b, 
• x = b, d

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.REI.D.10

Where is the graph neither continuous nor differentiable?

• x = -1, 0, 1, 2
• x = -1, 1
• x = -1, 0, 1
• x = -1, 0, 2

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

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

Tags

CCSS.HSF-IF.C.7B

Which of the following best describes the continuity at x = 3?

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

Tags

CCSS.HSF-IF.C.7B

Which of the following best describes the continuity at x = -3?

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

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

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

Tags

CCSS.HSF-IF.C.7B

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