Suppose the polynomial function below represents the power generated by a wind turbine, where × represents the wind speed in meters per second and y represents the kilowatts generated. Interpret f(10).
f(x) = 0.08x^3 + x^2 + x + 0.26
To interpret f(10), we substitute 10 for x in the polynomial function:
f(10) = 0.08(10)^3 + (10)^2 + 10 + 0.26
Simplifying this expression, we get:
f(10) = 0.08(1000) + 100 + 10 + 0.26
f(10) = 80 + 100 + 10 + 0.26
f(10) = 190.26
Therefore, f(10) represents the power generated by the wind turbine when the wind speed is 10 meters per second, which is 190.26 kilowatts.