SOLUTION: let f(x)=sin(x)(e^-x), 0</= x </= 2pi. Find (a) the domain of f and the x- and y- intercepts; (b) the critical numbers and the intervals on which f is increasing or decreasing; (c)

Algebra ->  Graphs -> SOLUTION: let f(x)=sin(x)(e^-x), 0</= x </= 2pi. Find (a) the domain of f and the x- and y- intercepts; (b) the critical numbers and the intervals on which f is increasing or decreasing; (c)      Log On


   



Question 1026315: let f(x)=sin(x)(e^-x), 0
Answer by ikleyn(52781) About Me  (Show Source):
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let f(x)=sin(x)(e^-x), 0<= x <= 2pi. Find (a) the domain of f and the x- and y- intercepts; (b) the critical numbers and the intervals on which f is increasing or decreasing; (c) the local max and min values; (d) the intervals on which f is concave upward or concave downward; (e) the points of inflection; (f) the graph of f
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The domain of f(x) is the given interval  0<= x <= 2pi.

Zeros of f(x) are the same as zeros sin(x), i.e. 0, pi and 2pi on a given interval.
Figure. Plot of sin%28x%29%2Ae%5E%28-x%29.