The domain of the function is the range of values of x that can be used to be replaced in the equation for it to become true. We are given that the value of f(x) should range only from -1 to 3. We evaluate each of the choices and see if the values of f(x) will fall within the range.
(a) -12; f(x) = 2^(-12) - 10 = -9.9999 (NOT AN ANSWER)
(b) -10; f(x) = 2^(-10) - 10 = -9.999 (NOT AN ANSWER)
(c) -9; f(x) = 2^(-9) - 10 = -9.999 (NOT AN ANSWER)
(d) -6; f(x) = 2^(-6) - 10 = -9.98 (NOT AN ANSWER)
(e) -2; f(x) = 2^(-2) - 10 = -9.75 (NOT AN ANSWER)
Hence, none of the choices will allow the value of f(x) to fall between -1 and 3.
Answer:

And replacing:

And the deviation:

And the distribution is given:

Step-by-step explanation:
For this case we have the following info given :

And the deviation would be 
For this case we select a sample size of n = 5 and the distirbution for the sample mean would be:

And replacing:

And the deviation:

And the distribution is given:

She was at 40 feet below, she swam up getting so she was then at 40-10 = 30 feet below sea level.
She the swan 4 feet down so she ended up at 30 + 4 = 34 feet below sea level.
The answer is 34 feet below sea level (-34)