Suppose the polynomial function below represents the power generated by a wind turbine, where x represents the wind speed in meters per second and y represents the kilowatts generated. Interpret ƒ(10). ƒ(x) = 0.08x3 + x2 + x + 0.2
To interpret ƒ(10), we substitute 10 for x in the polynomial function.
ƒ(10) = 0.08(10)^3 + (10)^2 + 10 + 0.2
ƒ(10) = 0.08(1000) + 100 + 10 + 0.2
ƒ(10) = 80 + 100 + 10 + 0.2
ƒ(10) = 190.2
So, when the wind speed is 10 meters per second, the wind turbine generates approximately 190.2 kilowatts of power.