A rational function is given. r(x) = 3x2 + 1 (x 3)2 (a) Complete each table for the function. (Round your answers to three decimal places where applicable.) Table 1 x r(x) 2.5 79 Correct: Your answer is correct. Amazing job! 2.9 2623 Correct: Your answer is correct. Great! 2.99 278203 Correct: Your answer is correct. Nice work! 2.999 27982003 Correct: Your answer is correct. Great job. Table 2 x r(x) 3.5 151 Correct: Your answer is correct. Outstanding! 3.1 2983 Correct: Your answer is correct. Nice work. 3.01 281803 Correct: Your answer is correct. Nice job! 3.001 28018003 Correct: Your answer is correct. Amazing work. Table 3 x r(x) 10 6.143 Correct: Your answer is correct. That's right! 50 3.396 Correct: Your answer is correct. Amazing job! 100 3.189 Correct: Your answer is correct. Nice work. 1000 3.018 Correct: Your answer is correct. That's it! Table 4 x r(x) 10 Incorrect: Your answer is incorrect. 50 2.670 Correct: Your answer is correct. Impressive work! 100 Incorrect: Your answer is incorrect. 1000 Incorrect: Your answer is incorrect. (b) Describe the behavior of the function near its vertical asymptote, based on Tables 1 and 2. r(x) as x 3 and r(x) as x 3+. (c) Determine the horizontal asymptote, based on Tables 3 and 4. y =