tssm topic 2

tssm topic 2
curve sketching 2 - semicircles, circles, rectangular hyperbolae, truncus, reciprocal curves and square root curves

1. state the maximal domain and the corresponding range of these functions:
   1. $f(x)=\sqrt{x}+4$
   2. $g(x)=\frac{1}{x-2}$
   3. $h(x)=\frac{1}{(x+2{)}^2}+3$
2. sketch the graphs of each of the following. label all important features. state the maximal domain and range of each.
3. $f(x)=\sqrt{x-4}$
4. not available
5. $f(x)=\frac{4}{(x-3{)}^2}-4$
6. $f(x)=3-\frac{2}{x-4}$
7. $f(x)=\frac{5}{x+6}$
8. $f(x)=6+\sqrt{4x-1}$