The graph below shows a cubic polynomial function with its x-intercepts marked. Which equation matches the graph?
Af(x) = −(x + 2)(x − 1)(x − 3)
Bf(x) = (x + 2)(x − 1)²
Cf(x) = (x + 2)(x − 1)(x − 3)
Df(x) = (x − 2)(x + 1)(x − 3)
Explanation
The graph crosses the x-axis at x = −2, 1, and 3 (all simple crossings, no flattening, ruling out a repeated root at x=1). As x → ∞, the graph rises, which requires a POSITIVE leading coefficient — ruling out the negated version, which would fall to the right instead.
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