1. Consider the function f(x) = -32 a. Use a table of values (minimum 4 points) to sketch the graph of y = f (x) (2 marks) x f(x) b. Complete the following table for this function. (3 marks) Equations for any Asymptotes Zero(s) y-intercepts Domain (use set notation) Range (use set notation) Type of Function Increasing or Decreasing (circle one) 2. Algebraically solve the following equations using common bases. (4 marks) a. 33x-281x+192x-1 b. 125x-2 253x x 52 3. The population of a town is increasing by 3% per year. The current population of the town is 8653. a. State an exponential function to model the population, P, after t years. (1 mark) b. Use your equation to determine the population after 5 years. (1 mark) C. Use a graphing calculator to determine the number of years it will take for the population to double. Explain your steps. Explain why this answer should be rounded to the next higher year. (1 mark)