The function f(x)=−6sin(7/3x+1/6)−5 models the average rate of change in temperature of a substance monitored in an experiment. In the function, x represents the number of minutes since the commencement of the experiment and the temperature of the substance is measured in degrees Fahrenheit.
Over what range of temperatures does the average rate of change in temperature fall?
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The range in the average rate of change in termperature of the substance is from a low temperature of °F to a high of °F.
Note that the function will be maxiimized when (7/3)x + 1/6 = (3pi/2)
So....the max temp = -6sin 3(pi/2) - 5 = -6(-1) - 5 = 1° F
And the function will be minimized whex (7/3)x + 1/6 = pi/2
So....the min temp is -6sin(pi2) - 5 = -6(1) - 5 = -11° F
So....the temp falls from 1°F to -11°F