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 + 0.26
To interpret ƒ(10), we substitute 10 in place of x in the polynomial function:
ƒ(10) = 0.08(10)^3 + (10)^2 + (10) + 0.26
Simplifying:
ƒ(10) = 0.08(1000) + 100 + 10 + 0.26
ƒ(10) = 80 + 100 + 10 + 0.26
ƒ(10) = 190.26
Therefore, ƒ(10) is equal to 190.26. In the context of the wind turbine, it means that when the wind speed is 10 meters per second, the turbine is generating approximately 190.26 kilowatts of power.