For each part, write "True" or "False". If true, give reasons why, and if false, specify a

function f and other relevant quantities (c, . . .) that demonstrate the falseness.

(a) If f is even and right continuous at 0 then f is continuous at 0.

(b) If f has a vertical asymptote then it has a horizontal asymptote.

(c) If f is differentiable at c and f + g is differentiable at c then g is differentiable

at c.

(d) If f has a removable discontinuity at c then f cannot be left continuous

at c.

(e) If f is continuous on [a, b] and for some c in [a, b], f (c) = K, then K is

between f (a) and f (b).