Sketch the graph of each exponential function sketch the

Question

1. Sketch the graph of each exponential function.

a. y = -3^x+1 + 2
b. y = (1/2)^x-2 - 3

2. Sketch the graph of each logarithmic function.

a. y= log_1/3 (x-2)
b. y = -log_1/2 (-x) - 2

3. Evaluate

Log₂ 64 + 4^-log₄ ²

4. Evaluate

log₂ 4x + log₂ (1/x) + 2log₂ (1/2)

5. Simplify

log₃ √3x - log₃ 27x + (5/2).