Key Characteristics of Exponential Functions Graphs

What is the horizontal asymptote for:
f(x) = 4(2)^x

• A
  y = 0
• B
  x = 0
• C
  y = 2
• D
  y = 4

What is the horizontal asymptote for:

f(x) = 3(4)^x + 2

• A

  y = 0

• B

  x = 0

• C

  y = 2

• D

  y = 4

Which function matches the graph?

• A
  f(x) = 2(3)^x
• B
  f(x) = 3(2)^x
• C
  f(x) = 3(6)^x
• D
  f(x) = 3(½)^x

Growth or Decay?

• A

  Growth

• B

  Decay

Identify the y-intercept and the decay factor in the function f(x) = -2 (1/3)^x .

• a = 1/3 ; b = -2

• a = -2 ; b = 1/3

• a = x ; b = -2

• a = -2 ; b = x

Asymptote?

• y = 2
• y = -2
• x = 2
• y = 0

Domain?

• (-∞, ∞)
• (0, ∞)
• (-∞, 0)
• [0, ∞)

Range?

• (-8, ∞)
• [-8, ∞)
• (-∞, ∞)
• (∞, -8)

y-intercept?

• (0, 5)
• (5, 0)
• (1.2, 0)
• (0, 1.2)

Range?

• (-∞, 2)
• (-∞, 2]
• (2, ∞)
• (2, -∞)