Continuity on Intervals (Graphs)

Which one of these open intervals is the function discontinuous?

• (-5,-4)

• (-4,-2)

• (-2,0)

• (0,1)

Which one of these intervals is the function continuous?

• (-2,-0.5)

• [-2,-0.5)

• [-2,-0.5]

• (-2,-0.5]

Which is not an appropriate reason for the discontinuity 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 an appropriate reason for the discontinuity 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

Which one of these open intervals is the function discontinuous?

• (-2,-1)

• (-1,1)

• (0,2)

• (2,3)

Which one of these intervals is the function continuous?

• (-1,1)

• [-1,1)

• [-1,1]

• (-1,1]

Which of these is not an appropriate reason for the discontinuity on $\left(-\infty,0\right)$ ?

• infinite discontinuity at x = -2

• jump discontinuity at x = -1

• f(-1) is not defined

•  $\lim_{x\rightarrow-2}f\left(x\right)$  does not exist

The function is not continuous on which interval?

• [0,1)

• (0,1)

• [2,3)

• (3,4]

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

Which of the intervals below is the function discontinuous?

•  $\left(-\infty,-1\right)$  

• [-1,0)

• [0,1]

•  $\left(1,\infty\right)$  

Which is not an appropriate reason for the discontinuity on [-1,2)?

• f(2) is not defined

• hole discontinuity at x = 0

• jump discontinuity at x = 1

• $\lim_{x\rightarrow0}f\left(x\right)$ $\ne f\left(0\right)$