Name: Date: School: Facilitator: 2.05 Graphing Exponential Functions Describe how to get the graph of the function from the graph of Fill-in your values for and g(x) f(x). h k and determine the equation of the asymptote. 1. = 2x = f(x) g(x) 2x+2 − 1 = = Equation of the asymptote: = h k y Describe the translation 2. = 2x = + 5 f(x) g(x) − 1∙2x-8 = = Equation of the asymptote: = h k y Describe the translation 3. = 2x = 6 f(x) g(x) − 2∙2x-4 − = = Equation of the asymptote: = h k y Describe the translation Determine if each of the following functions would represent Exponential Growth or Exponential Decay. 4. Exponential Growth or Decay? 5. Exponential Growth or Decay? 6. Exponential Growth or Decay? 7. Exponential Growth or Decay? Complete an table for each of the following functions and match it to the correct graph. Show all x-y work in the space provided. (A) (B)
Name: Date: School: Facilitator: 2.05 Graphing Exponential Functions Describe how to get the graph of the function g(x) from the graph of f(x). Fill-in your values for h and k and determine the equation of the asymptote. 1. f(x) = 2x g(x) = 2x+2 − 1 h = k = Equation of the asymptote: y = Describe the translation 2. f(x) = 2x g(x) = − 1∙2x-8 + 5 h = k = Equation of the asymptote: y = Describe the translation 3. f(x) = 2x g(x) = − 2∙2x-4 − 6 h = k = Equation of the asymptote: y = Describe the translation Determine if each of the following functions would represent Exponential Growth or Exponential Decay. 4. Exponential Growth or Decay? 5. Exponential Growth or Decay? 6. Exponential Growth or Decay? 7. Exponential Growth or Decay? Complete an x-y table for each of the following functions and match it to the correct graph. Show all work in the space provided. (A) (B)