Sketching Exponential Functions

The exponential graph:
Y=(⅕)^{X
Would be...}

• Exponential Decay
• Exponential Growth
• Linear

The exponential graph:
Y=2(3)^{X
Would be...}

• Exponential Growth
• Negative Exponential Growth
• Exponential Decay

What is the y-intercept for the function:
f(x) = 4(2)^x

• A
  2
• B
  4
• C
  0
• D
  8

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

Which function matches the graph?

• A

  f(x) = -5(2)^x + 3

• B

  f(x) = 5(2)^x + 3

• C

  f(x) = 5(2)^x - 3

• D

  f(x) = -5(½)^x + 3

Which function matches the graph?

• A

  f(x) = 1(½)^x - 3

• B

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

• C

  f(x) = 1(2)^x + 3

• D

  f(x) = 4(½)^x - 3

Growth or Decay?

• A

  Growth

• B

  Decay

What is the equation of the graph shown, and what is the y-intercept?

• y = 1⁄3 (3)^x ; a = 1⁄3
• y = 1⁄3 (3)^x ; a = 3
• y = 3 (1/3)^x ; a = 1⁄3
• y = 3 (1/3)^x ; a = 3

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