Domain, Range, Asymptotes of Log Functions

In the general log function 
y = a*log_b(x-h)+k, what letter helps us find the domain?

• a
• b
• h
• k

What must be done to the sign of h when using it in finding domain and the asymptote?

• nothing
• flip it

What is the range of every logarithmic function?

• x > infinity
• y > infinity
• y < infinity
• ARN

Find the domain of y = log₁₀(x+3)-1

• x<-3
• x>-3
• x<3
• x>3

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

Find the domain of y = log₁₀ (-x+4)-3

• x < -4
• x > -4
• x< 4
• x > 4

What kind of asymptotes do logs have?

• horizontal ( y=0)
• vertical (x=0)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Find the asymptote of the following: y = log₁₀ x - 6

• x=6
• x=-6
• x= 0
• y=0

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

find the asymptote: y = log₁₀ (x+3)

• x=-3
• x=3
• y=-3
• y=3

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

In the general log function 
y = a*log_b(x-h)+k, what letter tells us if the function has stretched, compressed, or reflected?

• a
• b
• h
• k

In the general log function 
y = a*log_b(x-h)+k, what letter tells us if the function has moved up or down?

• a
• b
• h
• k