Function Graphs A29823
1. The problem asks which graphs do not illustrate a function.
2. Recall the definition of a function: each input (x-value) must correspond to exactly one output (y-value).
3. For part (i):
- Graph A: A line ascending left to right is a function because each x has one y.
- Graph B: A line descending left to right is also a function.
- Graph C: A vertical line is not a function because one x corresponds to multiple y-values.
- Graph D: A less steep ascending line is still a function.
4. For part (ii):
- Graph A: Parabola opening upwards is a function.
- Graph B: Sideways parabola is not a function because some x-values have multiple y-values.
- Graph C: Curve with local max and min is a function if it passes vertical line test (assumed yes).
- Graph D: V shape (absolute value) is a function.
5. Final answers:
- (i) Graph C does not illustrate a function.
- (ii) Graph B does not illustrate a function.