Inverse Functions and Logarithms

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81
• log₈₁3 = 4
• log₃81 = 4
• log₄81 = 3

Tags

CCSS.HSF.BF.B.5

Change to Exponential Form:
log₆36 = 2

• 2⁶=36
• 6²=36
• 36²=6
• 36⁶=2

Tags

CCSS.HSF.BF.B.5

Tags

CCSS.HSF-BF.B.4A

Logarithmic functions are the inverse of...

• Linear Functions
• Exponential Functions 
• Quadratic Functions 
• Polynomial Functions 

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

• f ^-1(x)
• f ²(x)
• f '(x)
• f ⁺(x)

Tags

CCSS.HSF-BF.B.4A

The inverse has been reflected over which line?

• y = x
• x = 0
• y = 0
• x = -y

Tags

CCSS.HSF-BF.B.4B

Which of the following is NOT TRUE about inverse functions?

• Inverse functions are reflections of each other over the line y = x.

• You find the inverse by switching x and y in the equation.

• The domain of a function becomes the domain of its inverse.

• The domain of a function becomes the range of its inverse.

Tags

CCSS.HSF-BF.B.4A

Which graph represents f^-1(x) over the same domain?

• 
• 
• 
• 

Tags

CCSS.HSF-BF.B.4C

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)

Tags

CCSS.HSF-BF.B.4C

What does it mean to find the inverse of a function?

• switch the x's and y's

• divide the x's and y's by 2

• make the x's and y's negative

• make the x's and y's the same

Tags

CCSS.HSF-BF.B.4A