7.2 Review Worksheet (continued)
42. Electric power for the Cassini spacecraft is provided by the decay of plutonium-238 contained inside its generators. The power output of the generators in watts (W) is modeled by P t e ( ) 870 , t 127 = − where t is the number of years since the manufacture date. Describe how the model is transformed from its parent function. Suppose the instruments on Cassini require at least 600 W to function. Use the model to predict the number of years that the instruments on Cassini will function properly.
7.2.4 Curve Fitting with Exponential and Logarithmic Models Determine whether f is an exponential function of x of the form f ( x ) = ab x . If so, find the constant ratio. 43. 44.
x − 3 1 3 5 f ( x ) 20 6 2 12 30 − 5
x − 1 0 1 2 3 f ( x ) 1.25 1 0.75 0.5 0.25
45.
46.
x − 1 0 1 2 3 f ( x ) 0.667 1 1.5 2.25 3.375
x
− 1 0 1 2 3
f ( x ) − 16
− 8
− 4
− 2
− 1
151
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