Suppose the polynomial function below represents the power generated by a wind turbine, where x represents the wind speed in meters per second and f(x) 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
= 0.08(1000) + 100 + 10 + 0.26
= 80 + 100 + 10 + 0.26
= 190.26
Therefore, f(10) = 190.26.
Interpretation: When the wind speed is 10 meters per second, the wind turbine generates 190.26 kilowatts of power.