Limits and Continuity Practice

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

• Removable discontinuity

• Jump discontinuity

• Infinite discontinuity

Tags

CCSS.HSA.REI.D.10

Find the value of c that makes the function continuous.

• c=1/3
• c=3
• c=-3
• c=-1/3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.D.11

CCSS.HSA.SSE.A.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.HSF-IF.C.7B

The graph of the function f is shown. Which of the following statements is FALSE?

• $\lim_{x\rightarrow2}f\left(x\right)$ exists

• $\lim_{x\rightarrow3}f\left(x\right)$ exists

• $\lim_{x\rightarrow4}f\left(x\right)$ exists

• $\lim_{x\rightarrow5}f\left(x\right)$ exists

• The function f is continuous at x=3

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

The graph of the function f is shown. At what value of x does f have a jump discontinuity?

• 1

• 3

• 7

• 10

Tags

CCSS.HSF-IF.C.7D

The graph of a function f is shown in the figure above. Which of the following statements is true?

• $f\left(a\right)=2$

• f is continuous at x=a

• $\lim_{x\rightarrow a}f\left(x\right)=1$

• $\lim_{x\rightarrow a}f\left(x\right)=2$

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

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

The graph of a function f is shown Which of the following limits does not exist?

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

• $\lim_{x\rightarrow1}f\left(x\right)$

• $\lim_{x\rightarrow3^-}f\left(x\right)$

• $\lim_{x\rightarrow3}f\left(x\right)$

• $\lim_{x\rightarrow5}f\left(x\right)$

Tags

CCSS.HSF-IF.C.7B

Which of the following best describes the continuity at x = 2?

• Jump Discontinuity

• Removable Discontinuity

• Continuous

• Infinite Discontinuity

Tags

CCSS.HSF-IF.C.7D

At which x-value is there a jump discontinuity?

• $x=-3$

• $x=-6$

• $x=1$

• $x=2$

Tags

CCSS.HSF-IF.C.7D

Which of the following best describes the continuity at x = -4?

• Continuous

• Removable Discontinuity

• Infinite Discontinuity

• Jump Discontinuity

Tags

CCSS.HSF-IF.C.7D