Limits & Continuity

Find the value that will make the following continuous

• -2

• -1

• -3

• 0

In what interval is the following function continuous?

• (-∞,-2)u(-2,∞)

• [-2,2]

• (-2,2)

• (-∞,-2]u[-2,∞)

Tags

CCSS.HSF-IF.C.7D

For what value of x is the following function discontinuous?

• 3

• -3

• 6

• -6

Tags

CCSS.HSF-IF.C.7D

Is the following function continuous at x=0?

• Continuous

• Discontinuous

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

For what value of x is the following function discontinuous?

• -1

• -2

• -3

• -4

Tags

CCSS.HSF-IF.C.7D

A function is continuous on a number if and only if f(c) = lim f(x) as x approaches a number c.

• TRUE

• FALSE

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

• Jump Discontinuity

• Removable Discontinuity

• Continuous

• Infinite Discontinuity

Tags

CCSS.HSF-IF.C.7D

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

• Continuous

• Removable Discontinuity

• Infinite Discontinuity

• Jump Discontinuity

Tags

CCSS.HSF-IF.C.7B

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

• Continuous

• Removable Discontinuity

• Infinite Discontinuity

• Jump Discontinuity

Tags

CCSS.HSF-IF.C.7D

Is the function continuous at x = 2, and why?

• Yes, $\lim_{x\rightarrow2}f\left(x\right)=f\left(2\right)$

• Yes, $\lim_{x\rightarrow2^-}f\left(x\right)=\lim_{x\rightarrow2^+}f\left(x\right)$

• No, $\lim_{x\rightarrow2^-}f\left(x\right)\ne\lim_{x\rightarrow2^+}f\left(x\right)$

• No, $\lim_{x\rightarrow2}f\left(x\right)\ne f\left(2\right)$

Tags

CCSS.HSF-IF.C.7B