1. Compute and then simplify the quantity f(a+h) - f(a) when f(x)= 2/x+1

2. Find the largest domain of real numbers on which the given formula determines a real-valued function

(a). h(z)= 1/ sqr 4-z^2

(b). g(t)= t/|t|

3. Sketch graphs of the following functions taking into account the domain of definition of each function, ad plot points as necessary and indicate any points of discontinuity (if any).

(a). f(x)=|2x-2|

(b). f(x)= {1 if x is an integer

0 otherwise