Consider the function 

\begin{align*}
f(x)=\begin{cases}-x^2+4, & \text {for }\ x<1 \\ 2 x+1, & \text {for} \ 1 \leq x<3 \\ 7, & \text {for }\ x \geq 3\end{cases}
\end{align*}

1. Sketch  \(y=f (x)\)   (3 marks)
   

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2. State the range of  \(f(x)\)   (1 mark)
   

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