Answer:
The graph that represents a cubic function is:
Graph A.
Step-by-step explanation:
We know that for the graph of a cubic function it satisfies the property that:
- Both the ends of a graph must be in opposite directions.
- Also the graph attains the point of extrema at two points or zero point.
- Range is the set of real numbers.
- It has one inflection point.
- The graph has at least one real root.
Graph B:
It is a graph of a linear function.
Since a graph of a linear function is a straight line.
Graph C:
It is a graph of a quadratic function.
Since both the ends of the graph are in the same direction.
Graph D:
It is also a graph of a linear function.
As the graph is a straight line.
Graph A:
It is a graph of a cubic function.
Since it satisfies all the above properties.
