remember that to put a number in scientific notation is necessary to have the first digit of the number different to 0, so
to calculate the order of magnitude, if the number is greater than 3.16, we assume it as a 10, so in this case as 7.654 > 3.16 we get that the order is
So the order is 10^-3
c(x) is a function, then we will solve the problem for two different functions.
1. If
Then
Using each of the values for x we have.
When x=0 the result is:
When x=0.008 the result is:
When x=0.027 the result is:
When x=0.064 the result is:
When x=0.125 the result is:
When x=0.216 the result is:
When x=0.343 the result is:
When x=0.512 the result is:
When x=0.729 the result is:
When x=1 the result is:
2. If
Then
Using each of the values for x we have.
When x=0 the result is:
When x=0.008 the result is:
When x=0.027 the result is:
When x=0.064 the result is:
When x=0.125 the result is:
When x=0.216 the result is:
When x=0.343 the result is:
When x=0.512 the result is:
When x=0.729 the result is:
When x=1 the result is: