This will help a lot if you go to desmos! Just graph the equation on there! It’s much easier to see on computer
In terms of pi means to include pi in your answer. In other words, don't use 3.14 or 22/7 for pi.
The domain is the limits of the function. Since time doesnt go negative, start with 0. At time 0, the height is
-16(0)^2 + 144 = 144ft
Then, solve for t to find the upper limit for t, which is when the height is zero (since you're dropping the object).
-16t^2 + 144 = 0
-16t^2 = -144
t^2 = 9
t = sqrt(9)
t = 3
The domain is 0 to 3 seconds.
Even function is symmetrical about the y axis
not sure what it means if the polynomial is positive
the zeroes are how many times it hits the x axis
it hits 4 times so 4 zeros
(48a^3 + 32a^2 + 16a) / 4a = ?
48a^3 / 4a = 12a^2
32a^2 / 4a = 8a
16a / 4a = 4
so
(48a^3 + 32a^2 + 16a) / 4a = 12a^2 + 8a + 4
Answer is D. 12a^2 + 8a + 4