Quiz - Semester 1Review

The inverse of the function f(x) is written as ...

• f ^-1(x)
• f ²(x)
• f '(x)
• f ⁺(x)

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

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

If the equation of f(x) goes through (1, 4) and (4, 6), what points does f^-1(x) go through?

• (1, 4) and (4, 6)
• (-4, -1) and (-6, -4)
• (-1, -4) and (-4, -6)
• (4, 1) and (6, 4)

When finding the inverse of a relation,

1st: replace f(x) with y 2nd: switch the x's and y's

What do you do next?

• solve for y
• replace y with f^-1(x)
• solve for x
• find the greatest common factor

 Convert to exponential form: $\log_8\left(\frac{1}{64}\right)=-2$ 

•  $-2^8=\frac{1}{64}$  

•  $\left(\frac{1}{64}\right)^{-2}=8$  

•  $8^{-2}=\frac{1}{64}$  

•  $\left(\frac{1}{64}\right)^8=-2$  

 Convert to exponential form: $\log_{17}289=2$  

•  $17^2=289$  

•  $289^2=17$  

•  $17^{289}=2$  

•  $2^{17}=289$  

 Convert to exponential form: $\log_71=0$  

•  $1^0=7$  

•  $7^0=1$  

•  $7^1=0$  

•  $0^7=1$  

 Convert to exponential form: $\log_2x=16$  

•  $2^x=16$  

•  $x^2=16$  

•  $16^2=x$  

•  $2^{16}=x$  

 Convert to logarithmic form: $2^9=512$  

•  $\log_9512=2$  

•  $\log_2512=9$  

•  $\log_29=512$  

•  $\log_92=512$  

 Convert to logarithmic form: $6^{-3}=\frac{1}{216}$  

•  $\log_6\left(\frac{1}{216}\right)=-3$  

•  $\log_3216=-6$  

•  $\log_6-3=\frac{1}{216}$  

•  $\log_{ }\left(\frac{1}{216}\right)=6$