Answer
(a) $f(x) = b^x,\quad b>0.$
(b) Domain: $(-\infty,\infty).$
(c) Range: $(0,\infty).$
(d) See graph
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 shown in the figure below
(i) $b>1$ (in black color)
(ii) $b=1$ (in blue color)
(iii) $b=0$ (in red color)
