On the graph of y = (x + 2)^4 - 500, how many points are there whose coordinates are both negative integers?
We need to solve this
(x + 2)^4 = 500
Note that the 4th root of 500 ≈ 4.72 or -4.72
Ceiling (-4.72) = -4
Then we need to have x + 2 = -4
Then x = -6 is the lower bound integer
And x = -1 is the upper bound integer
So......the number of points where both coordinates are negative integers is 6