Question

Graphing Natural Exponential Functions In Exercise,sketch the graph of the function.See Example 1.

Answer 1

Answer:

See the graph and explanation below.

Step-by-step explanation:

For this case we have the following function:

$f(x) = e^{1-x}$

We can calculate some points in order to see the tendency of the graph, we can select a set of points for example $x =-2,-1.5,-1,0,1,1,5,2$ and we can calculate the values for f(x) like this

x=-2

$f(x=-2) =e^{1+2}= e^{3}=20.086$

x=-1.5

$f(x=-1.5) =e^{1+1.5}= e^{2.5}=12.182$

x=-1

$f(x=-1) =e^{1+1}= e^{2}=7.389$

x=0

$f(x=0) =e^{1-0}= e^{1}=2.718$

This point correspond to the y intercept.

x=1

$f(x=1) =e^{1-1}= e^{0}=1$

x=2

$f(x=2) =e^{1-2}= e^{-1}=0.368$

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.