Logarithmic and Exponential Functions

Rewrite 3⁴ = 81 in logarithmic form.

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

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

Rewrite log₂8 = 3 in exponential form.

• 2⁸ = 3
• 2³ = 8
• 3² = 8
• 8³ = 2

Tags

CCSS.HSF.BF.B.5

Describe domain of the function shown: y=log₂(x+1)

• (-∞,∞)

• (-1,∞)

• (-1,3)

• (∞, -1)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Describe range of the function shown: y=log₂(x+1)

• (-∞,∞)

• (-1,∞)

• (-1,3)

• (∞, -1)

Tags

CCSS.HSF-IF.C.7E

Write the equation of the function f(x)=log₃x after the following transformations:

Translate 6 units left and 4 units up.

• g(x)=log₃(x+6)+4

• g(x)=log₃(x+4)-6

• g(x)=log₃(x-6)+4

• g(x)=3log(x+6)+4

What is the correct transformed equation for the graph?

• y = log(x - 4)

• y = log(x) - 4

• y = log(x + 4)

• y = log(x) + 4

Tags

CCSS.HSF-IF.C.7E

• left 3, right 1

• right 3, down 1

• right 3, up 1

• left 3, down 1

What is the asymptote of y = 2^x - 3

• y = 0

• y = -3

• x = 0

• x = -3

Tags

CCSS.HSF-IF.C.7E

Classify the following graph.

• Exponential Growth
• Exponential Decay
• Logarithmic

Tags

CCSS.HSF-IF.C.7E