Subjects algebra

Function Graphs A29823

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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.