HOMEWORK FUNCTIONS 4PAI

What equation matches the graph?

• f(x) = 3^x
• f(x) = (⅓)^x
• f(x) = log₃(x)

What equation matches the graph?

• f(x) = 3^x
• f(x) = (⅓)^x
• f(x) = log₃(x)

What is the Domain of this exponential function?

• y=1

• x=0

• All Real Numbers

• x>0

f(x)=2ln(x+2)

Describe the asymptote

• Horizontal asymptote x = -2

• Horizontal asymptote x = 2

• Vertical asymptote x = -2

• Vertical asymptote x = 2

f(x)=¼ ln(x - 2) + 3

Find the Domain and Range

• Domain: all real numbers

  Range: y > 2

• Domain: all real numbers

  Range: y > -2

• Domain: x > -2

  Range: all real numbers

• Domain: x > 2

  Range: all real numbers

What is the Domain?

• x > 0
• All Real Numbers
• x > 1
• x < 1

What is the Range?

• y > 0
• All Real Numbers
• y > 1
• y < 1

What is the Domain?

• x > -3
• x > 5
• x > 3
• x > -5

Determine which functions model exponential decay.

What is the domain and range of the function y=2^x ?
Use the graph to help!

•  Domain: All Real Numbers
  Range: y>0
• Domain: All Real Numbers
  Range: y>1
• Domain: −2<x<∞
  Range: y>0
• Domain: −∞<x<∞
  Range: y>0