Domain and Discontinuity Pre Calc

What are the types of discontinuities (select all that apply)?

(HINT: Check your notes)

• holes (removeable)

• asymptotes (non-removeable)

• irrational

• continuous on the domain

• x = 5, vertical asympotoe 

• x = -5, hole 

• x = -5, vertical asymptote

• continuous on the domain

• x= 3, hole

• x = -3 hole 

• x = -3, vertical asymptote

• continuous on the domain

• 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. 

• x=3, x=-3, vertical asymptotes

• x=3, x=-3, hole

• x=3, hole
  x=-3, vertical asymptotes

• continuous on the domain

What should you be looking for when trying to determine the domain of the function? (Select all that apply)

• even radicals can't be negative.

• the value of the input can't be greater than the value of the output.

• cannot divide by zero.

• domain can't contain fractions.

• all real numbers

• all real numbers