Testing Graphs and Equations for Functions Worksheet with Answer Key

What's on the worksheet

1. Find another point of each graph with the same input, or show there is none:
   (5, 4) on y^2 = x + 11(4, 5) on \lvert y - 1 \rvert = x(4, 2) on xy + y = 10(4, 4) on (y - 2)^2 = x(−4, −2) on y^3 = 2x
2. Decide if a graph of three straight pieces is a function using its dots.
3. Find every output for several inputs of y squared equals 4 x squared.
4. Find every output for y squared equals x squared plus 9 and look for single outputs.
5. Decide which powers of y make y a function of x, with a counterexample for the rest.
6. Word problem: people in a library reading room each hour after it opens.