1. is this graph increasing or decreasing? does this imply that the boa constrictor population is growing or diminishing?
2. looking at this graph, would you agree that the boa constrictor population could become a problem
points on the graph are as follows
(0,5) (1,10) (2,20), (3,40)
3. what is the horizontal asymptote of this graph? (1 point)
4. what is the domain? explain. (1 point)
5. what is the range? explain. (1 point)
6. what is the y-intercept? what does this mean in terms of the snake population? (1 point)
7. what is the point on the graph when x = 1? what does this mean in terms of the snake population? (1 point)
8. the graph is of a function in the form p(t) = a • bt. what is the function? (2 points)
9. use this function to estimate the boa constrictor population in 2 years, 3 years, and 4 years. (6 points: 2 points for each year, including 1 point for showing your work and 1 point for the answer)
t: time in years p(t): estimated snake population at time t
2
3
4
10. what pattern do you see in years 2, 3, and 4? how is the snake population changing every year?
11. how is the snake population changing every two years?
making a decision:
12. do you think the snake population can continue to grow in this way forever? why or why not?