Answer:
- Domain =

- Range =

Step-by-step explanation:
The given function is,

f(x) is a quadratic function. As this is a polynomial function, so its domain is the entire real number set.
As its leading coefficient will be negative, so it will open downward. Hence, its range will be all real numbers below its vertex.
The general vertex form of quadratic function or parabola is,

where (h, k) is the vertex.
Comparing the given function with this we get the vertex at 
The y coordinate of the vertex is -2, so the range of the given quadratic function is,

Answer: No
Explanation:
According to factor theorem, if f(x)=0 then x is a factor of the given function or equation.
As x-1 is a factor
We equate x-1=0
x=1
Substituting in x^5-1, we have 1^5-1 =1-1=0.
Hence, it's a factor.
When coming to x^5+1, it would become 1^5+1=1+1=2
So x-1 isn't a factor of x^5+1.
Answer:
5.6 meters
Step-by-step explanation:
V = pi r^2 h
We want to solve for h
Divide each side by pi r^2
V/ pi r^2 = pi r^2 h/ pi r^2
V/ pi r^2 =h
We know v = 440 pi = 22/7 and r = 5
440 / ( 22/7 * 5^2) = h
440 / (22*25/7) = h
440*7/550 = h
5.6 = h