f(x)=\left\{\begin{array}{ll} x+2 & \text { if } x \leq 3 \\ 4 x-7 & \text { if } x>3 \end{array}\right. Let fbe the function given above. Which of the following

statements are true about f? \lim _{x \rightarrow 3} f(x) \text { exists } fis continuous at x = 3.