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\noindent {\bf Problem statement} To the right is a graph of $y=A(x)$. 


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\noindent a) Find the domain and range of $A$.

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\noindent b) If $B$ is defined by $B(x)=A(x)+1$, sketch the graph of
$B$ as well as you can. Find the domain and range of $B$.

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\noindent c) If $C$ is defined by $C(x)=A(2x+3)$, sketch the graph of
$C$ as well as you can. Find the domain and range of $C$.

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\noindent d) If $D$ is defined by $\displaystyle{D(x)={1\over
{A(x)}}}$, sketch the graph of $D$ as well as you can. Find the
domain and range of $D$.

}


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