Answer:
A. This is a function because every input maps to only one output.
D. Cubic Function
Explanation:
For this mapping to be considered a function it must only have one y-value for each x value. This is the case, and this is what option A describes.
From its shape, we can see that D is a cubic function. Let's look at the shapes of each of the other functions just to be sure.
A. Linear Function
This graph would be a line.
B. Absolute Value Function
This graph would be in a "V" shape
C. Quadratic function
This graph would be in a "U". or parabolic shape
D. Cubic Function
This would have the same basic shape as the one in the graph.