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Question 7 • CMS 2026-2027 NC Math 1 CREDIT RECOVERY

Which function is positive for the entire interval left bracket negative 3 comma negative 2 right bracket ?

Answer

Image with description A coordinate plane with a parabola opening upward. The x-axis is labeled from negative 3 to 7 in increments of 1 and the y-axis is labeled from negative 4 to 4 in increments of 1. The parabola has its vertex at 2 comma negative 3, passes through the points negative 1 comma 0 and 5 comma 0, and extends upward through the second and first quadrants.

Image with description A coordinate plane with a cubic curve. The x-axis is labeled from negative 3 to 3 in increments of 1 and the y-axis is labeled from negative 7 to 3 in increments of 1. The curve starts in the third quadrant near the point negative 2 comma negative 3, rises to a local maximum at approximately 0 comma 2, descends steeply to a local minimum at approximately 1 comma negative 7, and then rises into the fourth quadrant.

Image with description A coordinate plane with a cubic curve. The x-axis is labeled from negative 4 to 4 in increments of 1 and the y-axis is labeled from negative 8 to 8 in increments of 2. The curve starts in the third quadrant near the point 0 comma negative 8, rises steeply through the origin, reaches a local maximum at approximately 0 comma 6, descends to a local minimum at approximately 2 comma 4, and then rises steeply into the first quadrant.

Image with description A coordinate plane with a parabola opening upward. The x-axis and y-axis are labeled from negative 4 to 4 in increments of 1. The parabola has its vertex at 0 comma negative 3, passes through the points negative 3 comma 0 and 3 comma 0, and extends upward through the second and first quadrants.

Explanation

Choice B is an upward-opening parabola with x-intercepts at −1 and 5. For every x from −3 to −2, the graph is to the left of −1, outside the interval between its roots, so the function is above the x-axis and positive. Choice C, by contrast, is below the x-axis between its intercepts −3 and 3.

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