Types of Functions Scientists are studying the population of a rare species of primates, known as a Javan gibbons, on the Raja Ampat Islands in Indonesia. They are studying the gibbons on three different islands, Batanta, Misool, and Salawati. The scientists studied the population growth and recorded the data in the table. Years (x) 0 1 2 3 4 LO 5 M(x) - 10 M(x - 10) O -10M(x) M(-10x) Batana B(x) O 2 6 18 54 162 486 Misool M(x) 20 120 420 920 1620 2520 Salawati S(x) 38 81 124 167 1. What type of function is B(x), linear, quadratic or exponential? Justify your answer and show calculations to support your conclusion. 2. What type of function is M(x)? Justify your answer and show calculations to support your conclusion. 3. Describe how the graph of M(x) is affected by each of the following transformations where k = -10: 210 253 4. What type of function is S(x)? Justify your answer and show calculations to support your conclusion. 5. A white-handed gibbon population, represented by W(x), was recorded at a fourth location, starting in year three.

Types of Functions Scientists are studying the population of a rare species of primates, known as a Javan gibbons, on the Raja Ampat islands in Indonesia. They are studying the gibbons on three different islands, Batanta, Misool, and Salawati. The scientists studied the population growth and recorded the data in the table. 1. What type of function is B(x), linear, quadratic or exponential? Justify your answer and show calculations to support your conclusion. 2. What type of function is M(x) ? Justify your answer and show calculations to support your conclusion. 3. Describe how the graph of M(x) is affected by each of the following transformations where k=10 : - M(x)10 - M(x10) o 10M(x) - M(10x) 4. What type of function is S(x) ? Justify your answer and show calculations to support your conciusion. 5. A white-handed gibbon population, represented by W(x), was recorded at a fourth location, starting in year three