We have the following equation:
<span> h(t)=-4.92t^2+17.69t+575
</span> For the domain we have:
<span> </span>We match zero:
-4.92t ^ 2 + 17.69t + 575 = 0
We look for the roots:
t1 = -9.16
t2 = 12.76
We are left with the positive root, so the domain is:
[0, 12.76]
For the range we have:
We derive the function:
h '(t) = - 9.84t + 17.69
We equal zero and clear t:
-9.84t + 17.69 = 0
t = 17.69 / 9.84
t = 1.80
We evaluate the time in which it reaches the maximum height in the function:
h (1.80) = - 4.92 * (1.80) ^ 2 + 17.69 * (1.80) +575
h (1.80) = 590.90
Therefore, the range is given by:
[0, 590.9]
Answer:
the domain and range are:
domain: [0, 12.76] range: [0, 590.9]
Adding is where you added, or put something with, a number.
Some of the problems are in scientific notation, which if you don't know how to do, I will try to explain, when you see for example 1 x 10^3, what it is saying is basically 1 x 10 x 10 x 10 so in that case 1,000, simple trick is to look at what ever number is in the top right, then add that many zeroes. So this is most likely supposed to be a division problem. if you need more help message me.
