Question

Describe the end behavior of the function:

y = x3 + 3x2 - 2x + 4

a)left - rises, right - falls
b)left - rises, right - rises
c)left - falls, right - falls
d)left - falls, right - rises

Answer 1

The equation above is a cubic, since the highest degree present is a 3. The degree is odd and the function is positive, meaning the function travels from Quadrant 3 to Quadrant 1 (looking from left to right of the graph)
See the picture I added.
Therefore, the answer must be D.
Hope this helps