Example 1: Selected values of several functions are given in the table below. For each table, determine if the function could be linear, exponential, or neither. Give a reason for your answer. a X F ( x ) b) g (x) h(x) k(x) 5 80 7 1 3 5 2 10 40 2 1 2 20 6 3 3 4 4 15 9 4 20 10 1 6 8 12 -1 5 5 16 8 16 25 Example 2: A wild rumor is spreading that Mr. Passwater won 3d place in the World's Strongest Man Contest (Mr. Passwater definitely probably didn't start the rumor). The number of people that have heard the rumor can be modeled using a geometric sequence, where the 43 people had heard the rumor on day 3 and 140 people have heard the rumor on day 6. According to the model, how many people, to the nearest whole number, have heard the rumor by day 10? Example 3: A large theater has rows of seats where the number of seats in each row can be modeled by an arithmetic twenty-fifth row. sequence. If the fifth row has 31 seats and the eleventh row has 49 seats, determine how many seats there are in the Notes: Topic 2.2 Change in Linear and Exponential Functions Created by Bryan Passwate