Consider the Function $f(x)=-5^{x-4}+2$
(A) Graph It in the Standard Viewing Window of Standard

Essay

Consider the function $f(x)=-5^{x-4}+2$ .
(a) Graph it in the standard viewing window of your calculator.
(b) Give the domain and range of $f$ .
(c) Does the graph have an asymptote? If so, is it vertical or horizontal, and what is its equation?
(d) Find the $x$ - and $y$ -intercepts analytically and use the graph from part (a) to support your answers graphically.
(e) Find $f^{-1}(x)$ .