Answer:
Graph A
Graph B
Graph C
Step-by-step explanation:
we know that
The graph of the polynomial function eventually rises or falls depends on the leading coefficient (an) and the degree of the polynomial function (n)
<u><em>Verify each case</em></u>
Graph A
Graph rises to the left and falls to the right ----> When n is odd and an is negative
In this case n=3 (cubic function)
Graph B
Graph falls to the left and right ----> When n is even and an is negative
In this case n=2 (quadratic function)
Graph C
Graph rises to the left and falls to the right ----> When n is odd and an is negative
In this case n=1 (linear function)
Graph D
Graph rises to the left and right ---> When n is even and an is positive
In this case n=2 (quadratic function)
