Last BM Review

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

• (-∞,∞)

• (-1,∞)

• (-1,3)

• (∞, -1)

What is the inverse of the points
(1,3)(2,4)(6,8)

• (3,1)(4,2)(8,6)
• (-3,-1)(-4,-2)(-8,-6)
• (1,3)(2,4)(6,8)
• (-1,-3)(-2,-4)(-6,-8)

Find the inverse of  $f\left(x\right)=6^x$  .

•  $f^{-1}\left(x\right)=\log_x6$  

•  $f^{-1}\left(x\right)=\log_6x$  

•  $f^{-1}\left(x\right)=\log_{6x}^{ }$  

•  $f^{-1}\left(x\right)=\log\ \left(6+x\right)$  

Find the inverse function of  $f\left(x\right)=5^x$  

•  $f^{-1}\left(x\right)\ =\ \log_5x$  

•  $f^{-1}\left(x\right)=\log_{5x}$  

•  $f^{-1}\left(x\right)=5\log x$  

•  $f^{-1}\left(x\right)=\log5x$  

Which equation is the inverse of the equation above?

• 
• 
• 
• 

Logarithms are the inverse of ___________.

• Trees
• Quadratics
• Square
• Exponential

Are the blue and red graphs inverse functions?

• Yes, the functions reflect over y = x

• No, they do not reflect over the x - axis.

• No way to tell from a graph

Are the graphs inverses?

• yes

• no

What are the asymptotes?

• x=-2 and y=-1
• x=-2 and y=1
• x=2 and y=1
• x=2 and y = -1

What is the domain?

• (-∞, ∞)
• (0, ∞)
• [1, ∞)
• (1, ∞)