Which statement correctly describes the end behavior of f(x)=−9x4+3x3+3x2−1?
As x→∞, f(x)→∞, and as x→−∞, f(x)→−∞.
As x→∞, f(x)→−∞, and as x→−∞, f(x)→−∞.
As x→∞, f(x)→−∞, and as x→−∞, f(x)→∞.
As x→∞, f(x)→∞, and as x→−∞, f(x)→∞.
The second option, "As x→∞, f(x)→−∞, and as x→−∞, f(x)→−∞."
Step-by-step explanation:
Both end behaviors trend toward negative infinity! I recommend graphing on a calculator (or just by googling the equation) to see what it looks like :)
