log/exponentials

Classify the following graph.

• Exponential Growth
• Exponential Decay
• Logarithmic

Tags

CCSS.HSF-IF.C.7E

What equation matches the graph?

• f(x) = 3^x
• f(x) = (⅓)^x
• f(x) = log₃(x)

Tags

CCSS.HSF-IF.C.7E

As x --> 1, f(x) --> ____

• 0
• ∞
• -∞
• 1

Tags

CCSS.HSF-IF.C.7E

As x --> ∞, f(x) --> ____

• 0
• ∞
• -∞
• 1

Tags

CCSS.HSF-IF.C.7E

What is the domain?

• (-∞, ∞)
• (0, ∞)
• [1, ∞)
• (1, ∞)

Tags

CCSS.HSF-IF.C.7E

Where is the asymptote?

• x = 1
• y = 1
• x = -1
• y = -1

Tags

CCSS.HSF-IF.C.7E

What is the relationship between
f(x) = log₅(x)
and
g(x) = 5^x?

• No Relationship
• Inverses
• Same Function

Tags

CCSS.HSF.BF.B.5

Rewrite as an exponential: log₂8 = 3

• 3² = 8

• 2³ = 8

• 2⁸ = 3

• 8³ = 2

Tags

CCSS.HSF.BF.B.5

Rewrite as an exponential:  $\log_7\left(\frac{1}{49}\right)=-2$  

•  $7^{\frac{1}{49}}=-2$  

•  $\left(\frac{1}{49}\right)^{-2}=7$  

•  $7^{-2}=\frac{1}{49}$  

•  $\left(-2\right)^7=\frac{1}{49}$  

Tags

CCSS.HSF.BF.B.5

Rewrite as a log: y = 7^x

• log₇(x) = y

• log_y(7) = x

• log_x(y) = 7

• log₇(y) = x

Tags

CCSS.HSF.BF.B.5