Answer:
B
Step-by-step explanation:
First, determine if the function has an even or odd degree. By looking at the graph you can see that the end behavior is going in 2 different directions when x approaches infinity and negative infinity, so the degree of the function must be odd.
Next, look at the end behavior to see if the leading coefficient of the function is positive or negative. The end behavior of this graph is as x approaches infinity, f(x) approaches negative infinity, and as x approaches negative infinity, f(x) approaches infinity.
Since the end behavior for an odd degree function with a positive leading coefficient is as x approaches infinity, f(x) approaches infinity, and as x approaches negative infinity, f(x) approaches negative infinity, the end behavior of this function is the opposite of the end behavior of a function with a positive leading coefficient. This must mean the leading coefficient of the function that makes this graph is negative.
The only function in the given set of answers to satisfy these two conditions is B.
