1. Earlier in this class, we learned ways to recognize linear and exponential functions from a...

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1. Earlier in this class, we learned ways to recognize linear and exponential functions from a table of values. Below are three tables of values that could represent quadratic functions. a) Find the differences between the function values as the values of x change by 1. What do you notice? K b) Now find the differences of the differences (these are called the second differences). What do you notice in this case? c) Write a quadratic equation for each of the functions shown in these tables. d) Find the x-intercepts of each of your functions or explain why they do not exist. x 321 0 1 f(x) 2 3 4 -6 -8 Quadratic Function Tables -8 -6 -2 4 12 22 x -3 -2 -1 0 1 2 3 4 g(x) 3 7 19 39 67 103 147 199 x -3 -2 -1 0 1 2 3 4 k(x) 0 2.5 4 4.5 4 2.5 0 3.5 1. Earlier in this class, we learned ways to recognize linear and exponential functions from a table of values. Below are three tables of values that could represent quadratic functions. a) Find the differences between the function values as the values of x change by 1. What do you notice? K b) Now find the differences of the differences (these are called the second differences). What do you notice in this case? c) Write a quadratic equation for each of the functions shown in these tables. d) Find the x-intercepts of each of your functions or explain why they do not exist. x 321 0 1 f(x) 2 3 4 -6 -8 Quadratic Function Tables -8 -6 -2 4 12 22 x -3 -2 -1 0 1 2 3 4 g(x) 3 7 19 39 67 103 147 199 x -3 -2 -1 0 1 2 3 4 k(x) 0 2.5 4 4.5 4 2.5 0 3.5