The correct answers are (B), (C), and (D).
(C) is pretty straight forward. The graph resembles the graph of a quadratic function that us concave upwards. A quadratic function, and functions with an even degree like [tex]x^4, x^6[/tex] will be concave upwards if the leading term is positive.
For function with an odd degree such as [tex]x^3, x^5[/tex] will be mostly negative on the side of the negative x axis and positive on the side of the positive x-axis if the leading coefficient is positive. A cubic function with a positive leading term will be negative on the side of the negative x-axis for large negative numbers and positive on the side of the positive x-axis for large positive numbers. From this explaination we can gather that (B) and (D) are also correct .
The correct options are (B),(C) and (D).
