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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 need to substitute 10 in place of x in the function and solve for y.
ƒ(10) = 0.08(10)^3 + (10)^2 + 10 + 0.26
ƒ(10) = 0.08(1000) + 100 + 10 + 0.26
ƒ(10) = 80 + 100 + 10 + 0.26
ƒ(10) = 190.26
Therefore, ƒ(10) = 190.26 kilowatts. This means that when the wind speed is 10 meters per second, the wind turbine generates 190.26 kilowatts of power.