MODERATE EXERCISES


(2) For each of the following functions, construct a table of values of x over the indicated interval and then graph the function.

 (a) y = e0.5x [-3,3]

 (b) f(x) = 2e-x [-3,3]

 (c) h(x) = -e-x [-3,3]


SOLUTION:
(a) y = e0.5x [-3,3]   

 x         y
---      -----
-3       0.223
-2       0.368
-1       0.607
 0       1.000
 1       1.649
 2       2.718
 3       4.482
(b) f(x) = 2e-x [-3,3] x y --- ----- -3 40.17 -2 14.78 -1 5.437 0 2.000 1 0.736 2 0.271 3 0.100
(c) h(x) = -e-x [-3,3] x y --- ------- -3 -20.09 -2 -7.389 -1 -2.718 0 -1.000 1 -0.368 2 -0.135 3 -0.050

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