"b" represents the population of bobcats.
1) "t" represents the number of years after 2008.
2) The domain (t) starts at 0 (which is the year 2008) ⇒ t ≥ 0
3) The range (b) starts when t = 0. b =-0.32(0)² + 2.7(0) + 253 ⇒ b ≥ 253
4) The graph is discrete because the population must be in whole numbers.
Answer:
Step-by-step explanation:
a). t represents the number of years after year 2008.
b). The given function is b(t) = -0.32t²+ 2.7t + 253
Domain of this function all real numbers greater than zero
t ≥ 0
c). Fof t = 0
b(0) = -3.2(0) + 2.7(0) + 253
= 253
Therefore, range of the given function is all real numbers greater than 253.
b ≥ 253
d). Graph of the given function represents population.
Value of b should be in whole numbers. But when we solve the equation for different values of t, we get the value of b in fraction.
Therefore, graph will be a discrete graph.
