12.14.20 Removable Discontinuity

In f(x) = x² + 5x + 6 ∕  x + 3, at what value of x it will be a removable discontinuity?

• -3
• -2
• 2
• 3

Find and classify each discontinuity of the function.

 $f\left(x\right)=\frac{x}{x+5}$  

• x = 5, vertical asympotoe 

• x = -5, hole 

• x = -5, vertical asymptote

• continuous on the domain

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.REI.D.10

Find and classify the discontinuities of the function.

 $h\left(t\right)=\frac{2t^2+2t}{t^3-11t^2+24t}$  

• t=0, hole;
  t=3, t=8 vertical asymptotes

• t=0, vertical asymptote;
  t=3, t=8, holes

• t=0, hole
  t = -1, vertical asymptote. 

• t=-8, hole; 
  t=0, t = -3, vertical asymptotes. 

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.APR.D.6

Which statement represents the type(s) of discontinuity for the rational function?

• The function has a removable discontinuity at x = 3 and x = –3.

• The function has a vertical asymptote at x = 3 and x = –3

• The function has a non-removable discontinuity at x = –3 and a vertical asymptote at x = 3.

• The function has a removable discontinuity at x = 3 and a vertical asymptote at x = –3.

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.REI.D.10

Determine whether the graph of the function has a vertical asymptote or a removeable discontinuity at x = -1.

• Vertical Asymptote

• Removeable Discontinuity

• Infinite Discontinuity

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.D.6

What is the hole?

• x= 4
• x= -4
• x= 5
• x= -5

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

Where is the hole in this graph?

• x = -3
• x = 3
• x = 5
• None

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.D.6

• None
• x = 2
• x = 3
• x = 4

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7