Team Continuity Practice

in what value of x does the following function is discontinuous?

• 3

• -3

• 6

• -6

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

A piecewise function is continuous to any any interval.

• TRUE

• FALSE

Tags

CCSS.HSF-IF.C.7B

The function is continuous on  $\left[-2,\ 3\right]$ .

• True

• False

Tags

CCSS.HSF-IF.C.7B

Select all that are true for the function

 $f\left(x\right)=\frac{x^2-4}{x-2}$  

• has an infinite discontinuity at  $x=2$  

• has a removable discontinuity at  $x=2$  

• is a continuous function

• is continuous at all points in its domain

What is the limits of the function when x approching a?

• Undefined

• 2

• Does not exist

Tags

CCSS.HSF.IF.A.2

Find the limits above

• 0

• 1

• -1

Does  $f\left(x\right)=2+x-x^2$  holds with IVT given  $\left[0,3\right];\ w=1$  ?

• IVT holds

• IVT does not hold

• no sufficient information

Determine the value of k such that the function is continuous on the entire real line.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2