1. Function. There are no overlapping y values. The graph passes the vertical line test.
2. Not a function. The graph has overlapping y values. The graph fails the vertical line test.
3. Function. Each x value is unique.
4. Not a function. The x value of -2 repeats and has two different y values associated with it.
5. f(-5)=14 Not linear. The equation can not be rewritten in the form Ax + By=C. The graph of this function is v-shaped.
6. f(1)=2 Not linear. The equation has squared and cubes with the x variables.
7. f(-3)=4 Linear. Can be rewritten as -x+y=7. The graph of this function would be a continuous straight line.
8. Line 1: Slope is -3/2 Line 2: Slope is 2/3 These slopes are opposite reciprocals and therefore the two lines are perpendicular.
9. Line 1: Slope is -4 Line 2: Slope is -4 These slopes are the same so the two lines are parallel.
10-15 see attached pdf.