Exponential and Logarithmic Functions

What values of b make an exponential decay function?

• b > 0
• b < 1
• b > 1
• 0 < b < 1

Tags

CCSS.HSF-IF.C.8B

What is the transformation?

• shift left 5

• shift right 5

• shift up 5

• shift down 5

• vertical stretch by 5

• reflection across the x-axis

• vertical stretch by 5 AND reflection across the x-axis

• shift down 5

Describe the tranformation

• translate 4 units up

• translate 4 units left

• translate 4 units right

• translate 4 units down

Tags

CCSS.HSF.BF.B.3

Logarithmic functions are the inverse of...

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

Tags

CCSS.HSF.BF.B.5

Select all the transformations that apply.

y = -2 log ₂ (x) + 2

• Vertical stretch by 2

• Vertical compression by 1/2

• Reflect across the x-axis

• Shift up 2

• x = 3

• x = 12

• x = 4

• x = 7

• x = 0

• x = 2

• x = 4

• x = 3/2

Log with a base "e" (log_e) is the same thing as...

• "e"

• Natural Logarithm (LN)

• Common Logarithm (Log)

• Log without a base

Solve for x:

5^x + 1 = 12

Hint: Use desmos.com/calculator to calculate any logarithm. Round to 2 decimal places.

• 1.49

• 1.54

• 0.77

• -1.54