SOLUTION: our teacher has asked us to draw the function : {{{ f(x) = (e^x + 1) / (e^x - 1) }}} i know what the graph will look like but i have no idea how to explain how i got there, h

Algebra ->  Linear-equations -> SOLUTION: our teacher has asked us to draw the function : {{{ f(x) = (e^x + 1) / (e^x - 1) }}} i know what the graph will look like but i have no idea how to explain how i got there, h      Log On


   

Question 945385: our teacher has asked us to draw the function :
+f%28x%29+=+%28e%5Ex+%2B+1%29+%2F+%28e%5Ex+-+1%29+
i know what the graph will look like but i have no idea how to explain how i got there, help and steps would be appreciated
thanks
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
+f%28x%29+=+%28e%5Ex+%2B+1%29+%2F+%28e%5Ex+-+1%29+
make table:
x|f%28x%29
-5|-1.01 =>+f%28-5%29+=+%28e%5E-5%2B1%29%2F%28e%5E-5-1%29=-1.01+
-3|-1.1=>+f%28-3%29+=+%28e%5E-3%2B1%29%2F%28e%5E-3-1%29=-1.1+
-1|-2.2=>+f%28-1%29+=+%28e%5E-1%2B1%29%2F%28e%5E-1-1%29=-2.2+
0|infinity=>+f%280%29+=+%28e%5E0%2B1%29%2F%28e%5E0-1%29=2%2F0=infinity+
1|2.2=>+f%281%29+=+%28e%5E1%2B1%29%2F%28e%5E1-1%29=2.2+
3|1.1=>+f%283%29+=+%28e%5E3%2B1%29%2F%28e%5E3-1%29=1.1+
5|1.01 =>+f%285%29+=+%28e%5E5%2B1%29%2F%28e%5E5-1%29=1.01+
plot these points and draw a graph: