The Absolute Value Graph Worksheet with Answer Key

What's on the worksheet

1. Find values of the absolute value function and combinations of them.
   f(-9) + f(4)f(4 - 9)f(-2) - f(-7)3f\left(-\dfrac{2}{3}\right)f(-1.2) \cdot f(5)
2. Find the missing coordinate of each point on a shifted absolute value graph.
   (-7,\ y)(1.5,\ y)(x,\ 5)(x,\ -2)(x,\ -4)
3. Write an absolute value function as a piecewise function and give each slope.
4. Use points on a graph to find its vertex and write its rule.
5. Bike trail problem: use the distance to the water station as an absolute value function.
6. Show that the graph is symmetric about a vertical line.