Exponential and Logarithmic Functions

Solve for x.
3^x=81

• 3
• 4
• 9
• 27

What is the End behavior on the right side

•  x→∞, y→∞
•  x→⁻∞, y→∞
•  x→⁻∞, y→0
•  x→∞, y→⁻∞

What is the End behavior on the left side

•  x→∞, y→∞
•  x→⁻∞, y→∞
•  x→⁻∞, y→0
•  x→∞, y→⁻∞

What is the asymptote of y = 2^x - 3

• y = 0

• y = -3

• x = 0

• x = -3

What is the asymptote of y = log₂x - 3

• y = 0

• y = -3

• x = 0

• x = -3

A logarithmic function is the inverse of an exponential function.

• True

• False

Write in exponential form.
log₂32 = 5

• 2^-5 = 32
• 2³² = 5
• 2⁵ = 32
• 32⁵ = 2

Find the domain and range of:
f(x) = log₂(x)

• D: all real numbers
  R: y > 0
• Domain: all real numbers
  Range: all real numbers
• Domain: x > 0
  Range: all real numbers
• Domain: all real numbers
  Range: y < 0

• Horizontal shift left 5 units

• Horizontal shift right 5 units

• Vertical shift up 5 units

• Vertical shift down 5 units