SOLUTION: given the equation: f(x)= 3*sin(1/x) a. is this a function? why or why not? b. define the domain in interval notation. c. define the range in interval notation. d. evalua

Algebra ->  Functions -> SOLUTION: given the equation: f(x)= 3*sin(1/x) a. is this a function? why or why not? b. define the domain in interval notation. c. define the range in interval notation. d. evalua      Log On


   

Question 323405: given the equation:
f(x)= 3*sin(1/x)
a. is this a function? why or why not?
b. define the domain in interval notation.
c. define the range in interval notation.
d. evaluate f(0)
e. find max [f(x)]
f. find min [f(x)]
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
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graph%28300%2C300%2C-2%2C2%2C-5%2C5%2C3%2Asin%281%2F%28x%2B0.001%29%29%29
a) Yes, it provides a unique y value for each x input, although it is not continuous at x=0.
b) (-infinity,0) U (0,infinity)
c) [-3,3]
d) f(0) is undefined since 1/0 is undefined.
e) ymax=3
f) ymin=-3