Question

question 23 of 25
in which direction does the left side of the graph of this function point?
f(x) = 3x³ - x² + 4x - 2

Explanation:

Step1: Identify leading term

Leading term is $3x^3$ (highest degree term).

Step2: Check degree and coefficient

Degree is 3 (odd), leading coefficient is 3 (positive). For odd-degree polynomials with positive leading coefficient, as $x \to -\infty$, $f(x) \to -\infty$.

Step3: Determine left direction

When $x$ approaches negative infinity, $f(x)$ decreases to negative infinity, so the left side points down.

Answer:

Downward