Continuity HW Part 1

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.HSA.REI.D.10

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.HSA.APR.B.2

CCSS.HSA.REI.D.10

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 = -4?

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

Tags

CCSS.HSF-IF.C.7D

Which of the following graphs presents a removable/hole discontinuity at x = 1?

• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7D

What is the correct explanation on discontinuity at x = b ?

• Removable discontinuity

• Jump discontinuity

• Infinite discontinuity

Tags

CCSS.HSF-IF.C.7B

The function is continuous at x = a . True or false?

• True

• False

Tags

CCSS.HSF-IF.C.7B

Which one of these open intervals is the function discontinuous? (HINT: open intervals do not include the endpoints)

• (-5,-4)

• (-4,-2)

• (-2,0)

• (0,1)

Which is NOT a correct explanation for the discontinuities on [-2,1]?

• f(-2) not defined

• removable discontinuity at x = -0.5

• $\lim_{x\rightarrow-0.5}f\left(x\right)$ does not exist

• $\lim_{x\rightarrow1^-}f\left(x\right)$ $\ne\ f\left(1\right)$

Which is NOT a correct explanation for the discontinuities on [1,3]?

•  $\lim_{x\rightarrow1^+}f\left(x\right)\ \ne\ f\left(1\right)$  

• f(3) is not defined

• removable discontinuity at x = 1

• infinite discontinuity at x = 3