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Question
Which graph represents f(x)=−12x3?



Responses

Coordinate graph showing a range of negative five to five on the x and y axes. A curve intersects the x and y axes at begin ordered pair zero comma zero end ordered pair and curves out in both directions, with one end leaving through the first quadrant and one end leaving through the third quadrant. The curve has arrows at both ends.
Image with alt text: Coordinate graph showing a range of negative five to five on the x and y axes. A curve intersects the x and y axes at begin ordered pair zero comma zero end ordered pair and curves out in both directions, with one end leaving through the first quadrant and one end leaving through the third quadrant. The curve has arrows at both ends.

Coordinate graph showing a range of negative five to five on the x and y axes. A curve intersects the x and y axes at begin ordered pair zero comma zero end ordered pair and curves out in both directions, with one end leaving through the second quadrant and one end leaving through the fourth quadrant. The curve has arrows at both ends.
Image with alt text: Coordinate graph showing a range of negative five to five on the x and y axes. A curve intersects the x and y axes at begin ordered pair zero comma zero end ordered pair and curves out in both directions, with one end leaving through the second quadrant and one end leaving through the fourth quadrant. The curve has arrows at both ends.

Coordinate graph showing a range of five and negative five on the x and y axes. A parabola has a vertex at begin ordered pair zero comma zero end ordered pair. The vertex is the maximum.
Image with alt text: Coordinate graph showing a range of five and negative five on the x and y axes. A parabola has a vertex at begin ordered pair zero comma zero end ordered pair. The vertex is the maximum.

Coordinate graph showing a range of five and negative five on the x and y axes. A parabola has a vertex at begin ordered pair zero comma zero end ordered pair. The vertex is the minimum.

All Answers 1

Answered by GPT-5 mini AI
The second graph (curve through (0,0) rising to the left into quadrant II and falling to the right into quadrant IV).

Reason: f(x) = −12x^3 is an odd cubic with negative leading coefficient, so it goes up on the left and down on the right and passes through the origin.