Comparing Functions

Compare linear, quadratic, and exponential functions using tables, equations, and graphs.

Mario and Deena collect rare coins. They both began with 5 coins. For the first 4 months, the number of coins increased according to the following rules.Mario: The number of coins increased by 10 each month.Deena: The number of coins doubled each month.Part A: Complete the table below to show the number of coins for the first 4 months. Months Mario Deena Month 0 5 5 Month 1 15 10 Month 2 25 20 Month 3 35 40 Month 4 45 80 How many coins will Mario have after Month 3? How many coins will Deena have after Month 4? Part B: Which type of function is represented by Mario's coin collection? Linear Quadratic Exponent Write an equation to represent Mario's collection. Which type of function is represented by Deena's collection? Linear Quadratic Exponential Write an equation to represent Deena's collection. Part C: Based on the context of the problem, what would be an appropriate domain and range assuming the table continues? Explain your reasoning. Part D: If the trend continues, will one coin collection eventually exceed the other coin collection in the number of coins? Justify your answer. Match the graph to the correct function type. Function A Quadratic Function B Linear Function C Exponential Which function has the largest y-intercept? Function A Function B Function C Which function(s) show a negative rate of change between -2 < x < 1? Function A Function B Function C What is the domain and range for Function A? List the functions in order from smallest to largest when x = 1. Smallest C Middle B Largest A What is the end behavior for Function C? As x decreases, f(x) approaches 0. As x increases, f(x) increases.