Exponential and Logarithmic Functions Transformations

Evaluate the exponential function

f(x) = 3^x ; x = - 2

• -81

• -9

• 1/9

• -1/81

Is this exponential growth or decay?

• Growth

• Decay

What is the range?

• (-∞, ∞)

• (0, ∞)

• [1, ∞)

• (1, ∞)

Compare f(x) = 3^x- 4 with the basic function g(x) = 3^x

• 4 units up

• 4 units to the left

• 4 units to the right

• 4 units down

Write 2³= 8 in logarithmic form.

• log₂ 8 = 3

• log₂ 3 = 8

• log₃ 8 = 2

• log₃ 2 = 8

Write log₃ 81 = 4 in exponential form.

• 81⁴=3

• 81³=4

• 4³=81

• 3⁴=81

Write 10⁴= 10000 in logarithmic form.

• log₁₀ 4 = 10000

• log₁₀₀₀₀ 4 = 10

• log₁₀ 10000 = 4

• log₄ 10000 = 10

Evaluate log₇ 343

• 3

• 49

• 7

• 1

Evaluate log₈ 8

• 8

• -1

• 0

• 1

Evaluate: log₆₄4 = x

• x = 3

• x = -3

• x = ⅓

• x = -⅓