a) The function simplifies to
.. f(x) = (2x -a)/(5(x -c)) . . . . . . x ≠ b
The x-intercept will be located where f(x) = 0, at x = a/2.
b) The y-intercept is located where x = 0, at f(0) = a/(5c)
c) The vertical asymptote is where the denominator is zero, at x = c
d) The horizontal asymptote is the value that results when x gets large, y = 2/5.
e) There is a "hole" in the graph at x=b, where the function is undefined.