Answer:
See the graph and explanation below.
Step-by-step explanation:
For this case we have the following function:
[tex] f(x) = e^{1-x}[/tex]
We can calculate some points in order to see the tendency of the graph, we can select a set of points for example [tex] x =-2,-1.5,-1,0,1,1,5,2[/tex] and we can calculate the values for f(x) like this
x=-2
[tex] f(x=-2) =e^{1+2}= e^{3}=20.086[/tex]
x=-1.5
[tex] f(x=-1.5) =e^{1+1.5}= e^{2.5}=12.182[/tex]
x=-1
[tex] f(x=-1) =e^{1+1}= e^{2}=7.389[/tex]
x=0
[tex] f(x=0) =e^{1-0}= e^{1}=2.718[/tex]
This point correspond to the y intercept.
x=1
[tex] f(x=1) =e^{1-1}= e^{0}=1[/tex]
x=2
[tex] f(x=2) =e^{1-2}= e^{-1}=0.368[/tex]
We don't have x intercepts for this case since the functionnever crosses the x axis.
And then we can see the plot on the figure attached.
