Question

if none exist. x - coordinate(s) of absolute maximum: x - coordinate(s) of absolute minimum: x - coordinate(s) of relative maxima: x - coordinate(s) of relative minima: submit answer next item

Explanation:

Step1: Define absolute maximum

The absolute maximum is the highest - point on the entire graph. Here, the highest point occurs at \(x = c6\).

Step2: Define absolute minimum

The absolute minimum is the lowest - point on the entire graph. Here, the lowest point occurs at \(x = c5\).

Step3: Define relative maxima

Relative maxima are points where the function changes from increasing to decreasing. This occurs at \(x = c4\).

Step4: Define relative minima

Relative minima are points where the function changes from decreasing to increasing. This occurs at \(x = c2\) and \(x = c5\).

Answer:

x - coordinate(s) of absolute maximum: \(c6\)
x - coordinate(s) of absolute minimum: \(c5\)
x - coordinate(s) of relative maxima: \(c4\)
x - coordinate(s) of relative minima: \(c2, c5\)