Lesson 1.4 Continuity Answers Check

#1​ (a)   and it is a ​ (b)   . It looks like as the x-values approach infinity, there will be a ​ (c)   at ​ (d)   .

• x = -1
• vertical asymptote
• x = 1
• horizontal asymptote
• jump discontinuity
• hole
• y = 1
• y = 0.

Tags

CCSS.HSF-IF.C.7D

#2​ A hole at (a)   and it has a ​ (b)   at ​ (c)   . It looks like as the x-values approach infinity, there will be a ​​ (d)   at ​​ (e)   .

• x = 0
• vertical asymptote
• x = 1
• horizontal asymptote
• jump discontinuity
• hole
• x = -3
• y = 1
• y = -1

Tags

CCSS.HSF-IF.C.7D

#3 It has a ​ (a)   at ​ (b)   . It looks like as the x-values approach infinity, there will be a ​​ (c)   at ​​ (d)   .

• vertical asymptote
• x = 1
• jump discontinuity
• hole
• y = 1
• y = -1
• horizontal asymptote

Tags

CCSS.HSF-IF.C.7D

#4 The function is only continuous along the domain ​ (a)   , and has ​ (b)   horizontal asymptote.

• no
• 1

#5​ A hole at (a)   and it has a ​ (b)   at ​ (c)   . It looks like as the x-values approach infinity, there will be a ​​ (d)   at ​​ (e)   .

• x = -2
• vertical asymptote
• x = 1
• horizontal asymptote
• jump discontinuity
• hole
• x = 4
• y = 0
• y = -1

Tags

CCSS.HSF-IF.C.7D

#6 The function is continuous along the domain ​ (a)  

Tags

CCSS.HSF-IF.C.7B

#7 The function is continuous along the domain ​ (a)   and has ​ (b)   horizontal asymptote.

• no
• 1

#8 It has a ​ (a)   at ​ (b)   ​.

• vertical asymptote
• x = 1
• jump discontinuity
• hole
• y = -1
• x = -1
• horizontal asymptote

Tags

CCSS.HSF-IF.C.7D

#9 It has a ​ (a)   at ​ (b)   It has a ​ (c)   at ​​ (d)   . (put in numerical order)

• vertical asymptote
• x = 1
• jump discontinuity
• hole
• y = -1
• x = 4
• x = -11

#10 The function is continuous along the domain ​ (a)   .

Tags

CCSS.HSF-IF.C.7D