Depends greatly on the type of function.
Some things to keep in mind:
1.) the value of the denominator of a fraction cannot be zero
2.) the inside of an even root cannot be less than zero
3. The argument of a logarithmic function must be greater than zero
4. Plus many more other rules and such
But a simpler explanation, just find out what values x can be for the given function, and what y can be.
The x values make up the domain, the y, the range
Graphs are helpful
Hope this helps!
Answer:
1.
2.543.6
Step-by-step explanation:
We are given that
y(0)=200
Let y be the number of bacteria at any time
=Number of bacteria per unit time


Where k=Proportionality constant
2.
,y'(0)=100
Integrating on both sides then, we get

We have y(0)=200
Substitute the values then , we get


Substitute the value of C then we get





Differentiate w.r.t

Substitute the given condition then, we get



Substitute t=2
Then, we get 

e=2.718
Hence, the number of bacteria after 2 hours=543.6
Answer:
5.5 miles per hour
Step-by-step explanation:
Since he travels a total of 55 miles in 10 hours, you need to divide.
55/10 = 5.5
total hours/total miles = miles per hour