Graph of a Real Function

Draw the graph of the real function $f\left(x\right)=\left\{\begin{array}{ll}1+2x& ,x<0\\ 3+5x& ,x\ge 0\end{array}\right.$. Hence find their range.

Draw the graph of the real function $f\left(x\right)=1-x^2$. Hence find their range.

Draw the graph of the real function $f\left(x\right)=\frac{1}{2}{x}^2$. Hence find their range.

Draw the graph of the real function $f\left(x\right)=\left\{\begin{array}{ll}-1& ,x\le -1\\ x& ,-1<x<1\\ 1& ,x\ge 1\end{array}\right.$. Hence find their range.

Draw the graph of the real function $f\left(x\right)=\left\{\begin{array}{ll}x-1& ,x<2\\ 2x+3& ,x\ge 2\end{array}\right.$. Hence find their range.

Draw the graph of the real function $f\left(x\right)=\left\{\begin{array}{ll}x+3& ,x<2\\ 2x+1& ,x\ge 2\end{array}\right.$. Hence find their range.

Draw the graph of the real function $f\left(x\right)=\frac{x^2-4}{x-2}$. Hence find their range.

Draw the graph of the real function $f\left(x\right)=1-2x$. Hence find their range.

Draw the graph of the real function $f\left(x\right)=x+10$. Hence find their range.