Question 954155
{{{y=e^(x-3)+4}}}
There are no limitations on the domain, ({{{-infinity}}},{{{infinity}}}).
As {{{x}}} approaches {{{-infinity}}}, then {{{y}}} approaches {{{4}}}.
There is an asymptote at {{{y=4}}}.
As {{{x}}} approaches {{{infinity}}}}, then the function is unbounded.
So the range is ({{{4}}},{{{infinity}}}).
Graph it like any other function.
Choose x values.
Calculate y values.
Plot x,y pairs.
Draw a continuous line between data pairs.
{{{drawing(300,300,-2,8,-2,20,grid(1),
circle(-2,4.006,0.2),
circle(-1,4.018,0.2),
circle(0,4.049,0.2),
circle(1,4.135,0.2),
circle(2,4.368,0.2),
circle(3,5,0.2),
circle(4,6.7,0.2),
circle(5,11.4,0.2),
circle(6,24.1,0.2),
graph(300,300,-2,8,-2,20,2.718^(x-3)+4))}}}