# Calculus: Other Calculus Problems – #28602

Question: Let $f(t)=\left\{ \begin{matrix} 7t-8 & if & t<0 \\ 7{{t}^{2}}+a & if & 0\le t\le 3 \\ t+b & if & t>3 \\ \end{matrix} \right.$

a. Find the constants (a and b) so that f(t) is continuous

b. Graph the function.