Quick Check Rational Func domain, VA, discontinu, and intercepts

• (2,0)

• (-2,0)
• none

Tags

intercepts

Label the parts of the graph

a

b

c

d

y-intercept

vertical asymptote

x-intercept

removable discontinuity

Tags

rational functions

Which are vertical asymptotes of f(x) ?

• x = 5

• x = 0

• x =-5

• x = 25

• x=-1

Tags

Vertical asymptotes

What is the x-value of the removable discontinuity?

• at x=2

• at x=-2

• at x=-3

• at x=3

• This function has NO removable discontinuities

• (0,3)

   

• (0,-27)

   

• (0,-3)

• (0-9) 
  

• none

Tags

intercepts

Match the following

• Hole

• Y-INTERCEPT

• 1. 1 Factor 2 Cancel

  2. 3 set remaining num=0

• REMOVABLE DISCONTINUITY

• All real #s except where the denom=0

• VERTICAL ASYMPTOTE

• f(0)

• DOMAIN

• Zeros of the denom that are NOT holes

• X-INTERCEPT

Tags

rational functions

Groups:

(a) removable discontinuity at . . .

,

(b) non-removable discontinuity at . . .

,

(c) NOT a discontinuity

• x = 5/2

• x = 5

• x = 2

• x = -2

• x = 7

• x = 2/5

Tags

discontinuities