### Home > PC3 > Chapter 2 > Lesson 2.1.3 > Problem2-40

2-40.

​Graph $f(x) =\left\{ \begin{array} { l } { ( x - 2 ) ^ { 2 } \text { for } x \geq 0 } \\ { 3 x + 4 \text { for } x < 0 } \end{array} \right.$. Is the function continuous at $x=0$? Explain.

Graph a parabola with a vertex at $(0,2)$ for $x\ge0$.
Graph a line with a slope of $3$ and a $y$-intercept of $4$ for $x<0$.

If you still need help with the graph, make a set of tables like the ones shown in the Math Notes box in Lesson 1.3.1 or in the homework help for problem 1-137.