#### Answer

(a) This equation is $f(x) = b^x,\quad b>0.$
(b) Domain is $(-\infty,\infty).$
(c) Range is $(0,\infty).$
(d) The graphs are on the figure below (i)$b>1$(blue) (ii)$b=1$(red) (iii)$0

#### Work Step by Step

(a) This equation is $f(x) = b^x,\quad b>0.$
(b) Since $x$ can take any real value the domain is $(-\infty,\infty).$
(c) When $b\neq 1$ $b^x$ can take every positive value for suitable choice of $x$ so the range is $(0,\infty).$
(d) The graphs are on the figure below (i)$b>1$(blue) (ii)$b=1$(red) (iii)$0