Question

1. write your answers for letters a through f as ordered pairs. a) absolute maximum: b) local maximum: c) absolute minimum: d) local minimum: e) x - intercepts: f) y - intercept:

Explanation:

Step1: Identify absolute maximum

The highest - point on the graph gives the absolute maximum. From the graph, the absolute maximum occurs at the point $(-1.082,30.041)$.

Step2: Identify local maximum

The local maximum is a point where the function changes from increasing to decreasing. Here, the local maximum is also the absolute maximum, $(-1.082,30.041)$.

Step3: Identify absolute minimum

The lowest - point on the graph gives the absolute minimum. The absolute minimum occurs at the point $(1.082, - 6.041)$.

Step4: Identify local minimum

The local minimum is a point where the function changes from decreasing to increasing. Here, the local minimum is the absolute minimum, $(1.082, - 6.041)$.

Step5: Identify x - intercepts

The x - intercepts are the points where the graph crosses the x - axis (where $y = 0$). The x - intercepts are $(-3,0),(2,0),(4,0)$.

Step6: Identify y - intercept

The y - intercept is the point where the graph crosses the y - axis (where $x = 0$). The y - intercept is $(0,24)$.

Answer:

a) $(-1.082,30.041)$
b) $(-1.082,30.041)$
c) $(1.082, - 6.041)$
d) $(1.082, - 6.041)$
e) $(-3,0),(2,0),(4,0)$
f) $(0,24)$