2.6 Practice before Mini Quiz

 $g\left(x\right)=-3\ln\left(x-4\right)-2$  

What is the vertical stretch of the function?

• 3
  

• -2

• -3

• There is no vertical stretch

 $g\left(x\right)=-3\ln\left(x-4\right)-2$  
What is the asymptote of the function?

•  $x=-4$  

•  $y=2$  

•  $x=4$  

•  $y=-2$  

Tags

CCSS.HSF-IF.C.7E

 $f\left(x\right)=2\log_3\left(x+1\right)+5$  
What is the domain of the function?

•  $\left(-\infty,\infty\right)$  

•  $\left(5,\infty\right)$  

•  $\left(1,\infty\right)$  

•  $\left(-1,\infty\right)$  

Describe domain of the function shown: y=log₂(x+1)

• (-∞,∞)

• (-1,∞)

• (-1,3)

• (∞, -1)

Tags

CCSS.HSF-IF.C.7E

Write the equation of the function f(x)=log₃x after the following transformations:

Translate 6 units left and 4 units up.

• g(x)=log₃(x+6)+4

• g(x)=log₃(x+4)-6

• g(x)=log₃(x-6)+4

• g(x)=3log(x+6)+4

Tags

CCSS.HSF.BF.B.3

Write the equation of the function f(x)=3logx+4 after the following transformations:

Vertical stretch by a factor of 2, translate 5 units to the right.

• g(x)=5log(x+5)+4

• g(x)=5log(x-5)+4

• g(x)=6log(x-1)

• g(x)=6log(x-5)+4

Tags

CCSS.HSF.BF.B.3

find the asymptote: y = log₁₀ (x+3)

• x=-3
• x=3
• y=-3
• y=3

Tags

CCSS.HSF-IF.C.7E

Match the graph with its equation

• y = log₆(-x) + 1
• y = log₆(x − 2) + 1
• y = log₆(x + 2) - 1
• y = log(x-8) + 1

Tags

CCSS.HSF-IF.C.7E

What is the "b" value of the particular equation for a natural log function containing points     (2, 8) and (6.75, 17).

 $y=a+b\ln x$  
Round your b value to 4 decimal places.

• 7.3990

• 7.3989

• 2.8715

• 2.8714

What is the "a" value of the particular equation for a natural log function containing points     (2, 8) and (6.75, 17).

 $y=a+b\ln x$  
Round your a value to 4 decimal places.

• 7.3990

• 7.3989

• 2.8715

• 2.8714