Exponential Growth and Logarithms

Logarithmic functions are the inverse of...

• Linear Functions

• Exponential Functions 

• Quadratic Functions 

• Polynomial Functions 

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How are exponentials and logarithms related?

• They're cousins

• They're inverses

• They're not related

• They're reciprocals

Where is the asymptote?

• x = 1

• y = 1

• x = -1

• y = -1

What is the range?

• (-∞, ∞)

• (0, ∞)

• [1, ∞)

• (1, ∞)

What is the base?

• 1

• 5

• 10

• 3

What is the domain of log(x)?

• (-∞, ∞)

• [0, ∞)

• (0, ∞)

• (∞, -∞)

What is the x-intercept of log₇(x)?

• (2, 0)

• (-1, 0)

• (0, 1)

• (1, 0)

When creating a graph for f(x)=log₇(x), what should be typed into the graphing calculator?

• y₁ = log(7)x

• y₁= log(7x)

• y₁= log(x) / log(7)

• y₁= log(7) / log(x)