the graph represents a cubic function. what does the graph indicate about the values of the function for…

the graph represents a cubic function. what does the graph indicate about the values of the function for values of x between 0 and 3?\n\nthe values increase throughout the interval.\n\nthe values decrease at a constant rate from x = 0 to x ≈ 1, then increase at a constant rate for values of x such that 1 < x < 3.\n\nthe function has a local minimum at x ≈ 1.\n\nthe function has an absolute minimum at at x ≈ 1.

the graph represents a cubic function. what does the graph indicate about the values of the function for values of x between 0 and 3?\n\nthe values increase throughout the interval.\n\nthe values decrease at a constant rate from x = 0 to x ≈ 1, then increase at a constant rate for values of x such that 1 < x < 3.\n\nthe function has a local minimum at x ≈ 1.\n\nthe function has an absolute minimum at at x ≈ 1.

Answer

Explanation:

Step1: Analyze function behavior

A local minimum is a point where the function changes from decreasing to increasing. An absolute minimum is the lowest point on the entire graph. Since the graph has a local minimum at (x\approx1) (not an absolute minimum as the function continues to decrease further left), and the function does not increase throughout the interval (it has a decreasing - increasing - decreasing pattern). Also, the rate of change is not constant. But for (1 < x<3), the function is decreasing.

Answer:

The values decrease at a constant rate from (x = 0) to (x\approx1), then increase at a constant rate for values of (x) such that (1 < x<3).