Exponential functions

1. Circle the letters of the graphs below that represent exponential functions. c) al f) 2. Match the following equations to their graphs. aly = 2(1.5)* b) y = 3(0.25)* cly = 2(0.1)* d) y = 3(2)* 3. Your classmate claims that if she is given the equation of a polynomial function and the equation of an exponential function she can Identify which is which. Do you agree or disagree. Justify your answer. Page 4. For each of the following exponential functions, determine the y-intercept, the domain and range whether the function is increasing or decreasing, and the end behavior. b) y -int: y -int: Domain: Domain: Range: Range: Increasing/ Increasing/ Decreasing: Decreasing: End End Behaviour: Behaviour: y -int: d y -int: Domain: Domain: Range: Range: Increasing/ Increasing/ Decreasing: Decreasing End End Behaviour: Behaviour: 5. The population, in thousands, of groundhogs is shown in the graph below where y represents the population, and x represents time in years. a) What was the initial population of the groundhogs? 600 500 b) What was the population of the groundhogs after 5 years? 400 Population 300 c) In what year does the population (thousands) reach 350 000? 300 100 d) State the domain and range of this function. 8 9 10 Time (years)