Question

URGENT A virus is spreading by a factor of 2 every hour from 1:00 p.m. to 11:00 p.m. The function below shows the number of viral infections, f(x), after x hours from 1:00 p.m.:

f(x) = 20(2)x

Which of the following is a reasonable domain for the function?

All positive integers
1 ≤ x ≤ 11
0 ≤ x ≤ 20
0 ≤ x ≤ 10

Answer 1

0 ≤ x ≤ 10

Explanation:

Answer 2

0 ≤ x ≤ 10

Explanation:

The function representing the spread of virus is:

`f(x)=20(2)^(x)`

Where x represents the number of hours after 1:00 pm

So, at 1:00 pm "x" will be equal to 0. So the domain will start from x = 0

According to the given statement, the virus spreads from 1:00 pm to 11:00 pm. So, the number of hours starting from 1:00 pm and ending on 11:00 pm will be the Domain. 11:00 pm means 10 hours after 1:00 pm i.e. x = 10

So, the domains starts at x = 0 and ends at x = 10. Therefore, the correct answer is 0 ≤ x ≤ 10