(Solved): (a) Graph the given function, (b) find all values of \( x \) where the function is discontinuous, a ...

(a) Graph the given function, (b) find all values of \( x \) where the function is discontinuous, and (c) find the limit from the left and the right at any values of \( x \) where the function is discontinuous. \[ g(x)=\left\{\begin{array}{ll} 6 & \text { if } x<-1 \\ x^{2}-3 & \text { if }-1 \leq x \leq 3 \\ 6 & \text { if } x>3 \end{array}\right. \] (a) Choose the correct graph of the function. B. (b) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The function is discontinuous at \( x= \) (Use a comma to separate answers as needed.) B. The function is continuous for all values of \( x \). (c) Find the limit or limits from the lott and from the right for any values of \( x \) found in part (b). Seloct the correct choice below and, if necessary, fill in the (a) Graph the given function, (b) find ail values of \( x \) where the function is discontinuous, and (c) find the limit from the left and the right at any values of \( x \) where the function is discontinuous. \[ g(x)=\left\{\begin{array}{ll} 6 & \text { if } x<-1 \\ x^{2}-3 & \text { if }-1 \leq x \leq 3 \\ 6 & \text { if } x>3 \end{array}\right. \] (b) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The function is discontinuous at \( x= \) (Use a comma to separate answers as needed.) B. The function is continuous for al values of \( x \). (c) Find the limit or limits from the left and from the right for any values of \( x \) found in part (b). Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. The limit(i) from the left is/are The limit(s) from the fight is/are (Use a comma to separate answers as needed.) B. No discontinulties were found in part (b).