### Home > CALC > Chapter Ch2 > Lesson 2.3.3 > Problem 2-126

2-126.

Your sketch should have three linear pieces.

The domain is given by the piecewise function above.

The range can be seen on the graph. What is the highest and lowest *y*-value? Are there any holes or jumps on that interval?

We know that the graph has a starting point (0,0) so, it could only be continuous when *x* > 0.

Be mindful of the 3 conditions of continuity:

Area = *k*(base)(height), where *k* is some constant. The base is determined by the units on the *x*-axis. The height is determined by the units on the *y*-axis. Multiply.