Question

What is the end behavior of the graph of the polynomial function f(x) = 2x3 – 26x – 24?

Answer 1

I'm not sure if you're allowed to use calculators for this question but if you are, that's the graph. The answer would be the 2nd Option because it basically says as x goes left, y values go down and as x goes right, y values go up. If you're NOT allowed to use a calculator, you can figure out the end behavior by using the degree and the coefficient in front of the highest degree term. Degree/ highest degree means the power. In this case the degree is 3. When the degree is odd (3) and the coefficient is positive (2) the end behavior is always this way (x goes left, y values go down and as x goes right, y values go up)

Answer 2

Since the highest power in the polynomial is a 3, and the leading coefficient is positive, it will have the same end behavior as a line with a positive slope.
As x approaches infinity, y approaches infinity. As x approaches negative infinity, y approaches negative infinity.
LETTER B