Method 1: Look for a Pattern as increases. This is y x The domain values increase by regular intervals of 2, characteristic of while the range values have a common factor of . exponential Since the domain values increase by regular intervals behavior. and the range values have a common factor, the data are probably exponential. Method 2: Graph the Data The graph shows rapidly decreasing values of Exercises Determine whether the set of data shown below displays exponential behavior. Write or Explain why or yes no. why not. 1. 2. 0 1 2 3 0 1 2 3 x x 5 10 15 20 3 9 27 81 y y 3. 4. x 1 3 5 x 0 1 2 3 –1 –1 y 32 16 8 4 y 3 3 3 3 3 5. 6. x 0 5 10 x 0 1 2 3 4 –5 y 1 0.5 0.25 0.125 y
Method 1: Look for a Pattern The domain values increase by regular intervals of 2, while the range values have a common factor of . Since the domain values increase by regular intervals and the range values have a common factor, the data are probably exponential. Method 2: Graph the Data The graph shows rapidly decreasing values of y as x increases. This is characteristic of exponential behavior. Exercises Determine whether the set of data shown below displays exponential behavior. Write yes or no. Explain why or why not. 1. x 0 1 2 3 y 5 10 15 20 2. x 0 1 2 3 y 3 9 27 81 3. x –1 1 3 5 y 32 16 8 4 4. x –1 0 1 2 3 y 3 3 3 3 3 5. x –5 0 5 10 y 1 0.5 0.25 0.125 6. x 0 1 2 3 4 y
exponential_functions-3.docx