The rabbit population on a small island is observed to be given by the function p(t) = 130t − 0.4t^4 + 1200 where t is the time (in months) since observations of the island began.

(a) when is the maximum population attained (round your answer to one decimal place.)

what is the maximum population? (round your answer to the nearest whole number.)

(b) when does the rabbit population disappear from the island? (round your answer to one decimal place.)

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!