Ch 5 Exam

1) Find the inverse of the function
 $f\left(x\right)=3x-5$  

• A)  $f^{-1}\left(x\right)=\ 3x\ +5$  

• B $f^{-1}\left(x\right)=3y-5$  

• C $f^{-1}\left(x\right)=\frac{\left(x+5\right)}{3}$  

• D $f^{-1}\left(x\right)=3y+5$  

2) Are the blue and red graphs inverses of each other?

• a) Yes, because they reflect across y=x

• b) Yes, because they are both parabolas

• c) No, because they are just showing solutions on the green line.

• d) there is no way to tell

Find the inverse of  $f\left(x\right)=-4x-12$  

• a)  $f^{-1}\left(x\right)=4x-3$  

• b)  $f^{-1}\left(x\right)=\frac{1}{4}x+3$  

• c)   $f^{-1}\left(x\right)=\ -\frac{1}{4}x-3$  

•  $f^{-1}\left(x\right)=-4x-3$  

 $x^y=4$  Rewrite in log form.

• A)  $\log_x4=y$  

• B) $\log_4x=y$  

• C) $\log_yx=4$  

• D) $\log_y4=x$  

Rewrite the equation in exponential form.

 $\log_381=4$  

•  $4^3=81$  

•  $3^4=81$  

•  $81^3=4$  

•  $81^{\frac{1}{4}}=3$  

Evaluate the following logarithm:

log₄16

• 1

• -2

• 2

• ¹/₂

Tags

CCSS.HSF.BF.B.5

Write in logarithmic form

2^-4 = ¹/₁₆

• log₂(¹/₁₆) = -4

• log_-4(¹/₁₆) = 2

• log _-4 2 = ¹/₁₆

• log₂(-4) = ¹/₁₆

Tags

CCSS.HSF.BF.B.5

Rewrite log_pt = m in exponential form.

• p^t = m
• t^m = p
• m^t = p
• p^m = t

Tags

CCSS.HSF.BF.B.5

• y = Ix + 2I - 1
• y = -Ix + 2I - 1
• y = -Ix - 2I - 1
• y = -Ix + 1I - 2

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

 If the blue is f(x)=x^3, the red must be

• g(x)=x³+1
• g(x)=x³-1
• g(x)=(x-1)³
• g(x)=(x+1)³

Tags

CCSS.HSF.BF.B.3