(Solved):   Suppose that the function \( f \) is defined for all real numbers as follows. \[ f(x)=\lef ...

 

Suppose that the function \( f \) is defined for all real numbers as follows. \[ f(x)=\left\{\begin{array}{ccc} x^{2}+1 & \text { if } & x<1 \\ 2 & \text { if } & x=1 \\ 8-3 x & \text { if } & x>1 \end{array}\right. \] Graph the function \( f \). Then determine whether or not the function is continuous.