Question

On a coordinate plane, a curved line with a minimum value of (negative 2, negative 6) and maximum values of (negative 3.75, 3) and (0.25, 13), crosses the x-axis at (negative 4, 0), (negative 3, 0), (negative 1, 0), and (1, 0), and crosses the y-axis at (0, 12).

Which interval for the graphed function contains the local minimum?

Answer 1

The local minimum of the function occurs at the point (negative 2, negative 6). Therefore, the interval containing the local minimum is around x = -2.

The local minimum of the graphed function lies at (-2, -6). Examining the intervals around this point, the local minimum occurs in the vicinity of x = -2. This is identified by the curve's downward slope, reaching the lowest y-value at this x-coordinate.

The given data points and the curvature of the line contribute to understanding the function's behavior. Recognizing the minimum point's position on the graph aids in determining the relevant interval for the local minimum, emphasizing the importance of analyzing the function's features on the coordinate plane.