Types of Functions
Scientists are studying the population of a rare species of primates, known as a Javan gibbons, on the Raja Ampat Islands
Batanta, Misool, and Salawati. The scientists studied the population growth and recorded the data in the table.
Years (x)
0
1
2
3
5
Batana
B(x)
2
Misool
M(x)
20
6
120
18
420
54
162
486
920
1620
2520
1. What type of function is B(x), linear, quadratic or exponential? Justify your answer and show calculations to support
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(x-10)
。 -10M(x)
• M(-10x)
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.