Chp 7 Review (non graph)

y=e^3(x-1)+2

What is the Range of this function

• (-∞,∞)

• (0,∞)

• (2, ∞)

• (-∞, 2)

y = 3(2)^x-3+1

Describe the shift from the parent function

• right 3, up 1

• left 3, down 1

• left 3, up 1

• right 3, down 1

is y = -1/2 e^-2x An example of growth or decay

• Growth

• Decay

Simplify the expression:

∛(-8e^12x)

• 2e^4x

• 2e^9x

• -2e^2x

• -2e^9x

Simplify the expression

3e^-2 ⋅ 2e⁵ ⋅e^-3

• 6

• 6e⁰

• 6e¹

• 6e³⁰

Simplify

log₂16^5x

• 5xlog₂16

• log₂(16*5x)

• 5x

• 20x

10^log3x

• 1000x

• 3x

• log3x

• 10log3x

Evaluate without a calculator

log₂₇3

• 3

• 1/3

• -3

• 9

Find the inverse of y = 3^x

• y = ∛x

• y = log₃x

• x = log₃x

• y = x³

Expand (simplify completely)

log₃ 9/(x³y⁶)

• log₃9 - 3log₃x - 6log₃y

• log₃9 - 3log₃x + 6log₃y

• 2 - 3log₃x + 6log_3y

• 2- 3log₃x - 6log₃y