All of the power functions presented in this section had positive exponents, but the defin...

All of the power functions presented in this section had positive exponents, but the definition of these types of functions does allow for negative exponents as well. In addition to the reciprocal and reciprocal square functions (y = x−1 and y = x−2), these types of power functions have significant applications. For example, the temperature of ocean water depends on several factors, including salinity, latitude, depth, and density. However, between depths of 125 m and 2000 m, ocean temperatures are relatively predictable, as indicated by the data shown for tropical oceans in the table. Use a graphing calculator to find the power regression model and use it to estimate the water temperature at a depth of 2850 m.