Here are the definitions of some functions, followed by some possible inputs for the functions.

Possible inputs: -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, and 5.

1. For each function, decide which input or inputs would give an output of 0.

2. Here are graphs of , , and . Label each intercept with its coordinates, and be prepared to explain how you know.

   

   graph on left of a line through -5 comma 0 and 0 comma 5. graph in middle of a line through 0 comma -6 and 2 comma 0. on right, parabola with x intercepts = -1 and 3. vertex at 0 comma -3. 

1. For each function, find the input that would give an output of 0.
2. Match each graph to a function in the previous question. Be prepared to explain your matches. 

   

   graphs A, B, C, D, E, F of 6 lines. A, slope = -1, y intercept = 8. B, slope = 1, y intercept = -10. C, slope = 1, y intercept = 10. D, slope = 2, y intercept = 8. E, slope = 2, y intercept = -8. F, slope = -1, y intercept = -8. 

3. Label the intercepts on each graph with their coordinates.
4. For each function, find the inputs that would give an output of 0.
5. Create three different functions whose output is 0 when the input is 7. At least one of your functions must be quadratic.