The functions f(x)=2^x and g(x)=8(2)^x are both shown graphed.
The graph of g is certainly a vertical stretch of the function f by a
factor of 8. But, it is also a shift of f by three units left. Can you
explain why this is using an exponent law.

(b) suppose that consolidated power decides to use a level of significance of α = .05, and suppose a random sample of 100 temperature readings is obtained. if the sample mean of the 100 temperature readings is x⎯⎯ = 60.990, test h0 versus ha and determine whether the power plant should be shut down and the cooling system repaired. perform the hypothesis test by using a critical value and a p-value. assume σ = 5. (round your z to 2 decimal places and p-value to 4 decimal places.)