Answer:
Step-by-step explanation:
Given is a function f(x)
[tex]f(x) = e^x -e^{-\frac{{x}}{2}[/tex]
We have to analyse and sketch the graph
X intercept : Put y =0, we get x=0
Y intercept: Put x =0 , we get y =0
No exception for x or y and hence set of all real numbers is domain and range.
[tex]f'(x) = (e^x +1/2 e^{-\frac{{x}}{2})[/tex]
f' becomes 0 not at finite points
So relative extreme
Graph is sketched and attached
