Answer
See image:
Work Step by Step
Start with $f_{1}(x)=x^{5}$.
$f(x)=x^{5}-3= f_{1}(x)-3$,
the graph of $f$ is obtained by translating $f_{1}$ two units down.
Create a table of several function values and plot points $(x,f_{1}(x)).$
Take the points obtained in the table,
translate them two units down and join with a smooth curve.