Science:Math Exam Resources/Courses/MATH104/December 2012/Question 01 (e)/Solution 1

There are infinitely many possible solutions to this problem. As long you sketch a continuous function that has slope equal to 1 the near $x=0$ on the left, a slope equal to -1 near $x=0$ on the right and touches the point $(0,3)$, then you should get full marks. Click the images below to see a couple of examples.

A possible solution

Another possible solution