4. Graph the following equations. Explicitly state the equation of the asymptote, the x-intercept, the y-intercept, and the domain and range. a) y = 2x-3 - 4 -5 X 5 2021-07-15 Page 12 of 21PCMath12 WCLN.ca* b) y = log3(x + 2) + 1 Y Ch X c) y= -3 +6 5\f6. A colony of bees doubles in population every 5 weeks. How long does it take for the population to triple? Round to one decimal place. 7. The half-life of a certain radioactive isotope is 20 days. How long does it take for 50g of the isotope to decay to 10g? 8. A radioactive substance is produced from nuclear fallout. If 600 g of the substance decays to 250g in 20 years what is its half-life? Round to the one decimal place.2. Given the arithmetic series with first term 4 and common difference 7, determine t8. PCMath12 WCLN.ca* 5. In an arithmetic sequence, the 5th term is v50 and the 8th term is v 128. Determine the common difference of this sequence. 6. Which term in the arithmetic sequence -8, -4.8, -1.6, .. is 30.4? 7. Given that an arithmetic series has to = 9 and $2 = 15, determine the common difference. 8. Determine the common ratio of the geometric series: 12 - 3 + 2 ... 9. Calculate the 7th term of the geometric sequence: 2727, 909, 303, .. 10. If the sum of the first 7 terms of a geometric series is -671844 and the common ratio is 6, determine the first term.PCMath12 WCLN.ca* 11. Find the sum of the infinite geometric series 180 + 30 + 5 + ... 12. Determine the fourth term in the geometric sequence 3x, 12x2, ... 13. The sum of an infinite geometric series is 36, and the first term is 28, determine the common ratio. 14. Determine the sum of the first 7 terms of the geometric series with a = 6.1 and ty = 36.4 15. Express the repeating decimal 4.61 as an exact fraction using a geometric series