Inverse and Power Functions

log₂(¹/₈) = -3

• 2^-3 = ¹/₈

• 2^1/8 = -3

• -3² = ¹/₈

• -3^1/8 = 2

Tags

CCSS.HSF.BF.B.5

Evaluate by thinking 4 to what power is 16, so

log₄16

• 2

• 4

• 1/2

• -2

Write log₃ 81 = 4 in exponential form.

• 81⁴=3

• 81³=4

• 4³=81

• 3⁴=81

Tags

CCSS.HSF.BF.B.5

Logarithmic functions are the inverse of...

• Linear Functions

• Exponential Functions 

• Quadratic Functions 

• Polynomial Functions 

Tags

CCSS.HSF.BF.B.5

Was the inverse function found correctly?

• no,

• yes

Tags

CCSS.HSF-BF.B.4A

Is the inverse function found correctly?

• yes

• no

Tags

CCSS.HSF-BF.B.4A

Are these the graphs of two inverse functions?

• Yes

• No

• No way to tell

Tags

CCSS.HSF-BF.B.4C

An ​ (a)   takes a previously found result ( a y value) and returns it to its original value (x value). This means you are ​ (b)   a function

• function

• inverse

• 2 or more

• undoing

Tags

CCSS.HSF-BF.B.4C

Are the blue and red graphs inverse functions?

• yes

• no

• no way to tell

Tags

CCSS.HSF-BF.B.4B

Find the inverse of
f(x) = 1/4x - 7

• f^-1(x) = 4x + 7

• f^-1(x) = -4x + 28

• f^-1(x) = -4x - 7

• f^-1(x) = 4x + 28

Tags

CCSS.HSF-BF.B.4A