The entire graph of a function \(f\) is given in the figure below:

Find the domain of \(f\).
\[ \left [\answer {0},\answer {4}\right ] \]
Find the range of \(f\).
\[ \left [\answer {0},\answer {2}\right ) \cup \left [\answer {3},\answer {4}\right ) \]
Find an expression for \(f(x)\) if \(0<x<2\).
\[ f(x) = \answer {-x/2 + 4} \quad \text {for $0<x<2$.} \]
The graph of a function \(g\) is given below. It was obtained by shifiting and scaling the graph of \(f\). Find the expression for the function \(g\).
\[ g(x) = \answer {-1/2} \cdot f\left (\answer {x+2}\right ) \]
Find the domain of \(g\).
\[ \left [\answer {-2},\answer {2}\right ] \]
Find the range of \(g\).
\[ \left (\answer {-2},\answer {-3/2}\right ] \cup \left (\answer {-1},\answer {0}\right ] \]
Let \(F\) be an odd function defined on \([-4,4]\) such that \(F(x) = f(x)\) if \(0\le x\le 4\): Find an expression for \(F(x)\) if \(-4\le x\le 0\).

Your answer should contain letter \(f\).

Recall: \(F\) is odd!

That means that for all \(x\) in the domain of \(F\),

\(F(-x)=-F(x)\)

\[ F(x) = \answer {-f(-x)} \quad \text {for $-4\le x<0$.} \]