Answer:
1.a. not a function
1.b. function
1.c. function
1.d. not a function
1.e. not a function
1.f. not a function
Explanation:
1.a.
The arrows from x to y show that the ordered pairs of this function are:
(1, 4), (1, 5), (0, 7), (1, 6), (2, 5).
Since the x-coordinate 1 is used in two different ordered pairs, (1, 4) and (1, 5), this relation is not a function.
1.b.
Each x-coordinate is used only once, so this relation is a function.
1.c.
All x-coordinates are different. Function.
1.d.
Two ordered pairs have the same x-coordinate. Not a function.
1.e.
Two ordered pairs have the same x-coordinate. Not a function.
1.f.
Two ordered pairs have the same x-coordinate. It does not pass the vertical line test. Not a function.