Question

1. identify key points using the graph below. max: min: x - intercepts: leftmost: rightmost: y - intercept:

Explanation:

Step1: Identify maximum point

Visually, the local maximum is at approximately $(0, 0)$.

Step2: Identify minimum points

There are two local - minima. One is around $(-3,- 3)$ and the other around $(6,-9)$.

Step3: Find x - intercepts

The graph crosses the x - axis at approximately $x=-4,x = 0,x = 8$.

Step4: Find left - most and right - most x - values

The left - most visible x - value is around $x=-5$ and the right - most is around $x = 9$.

Step5: Find y - intercept

The graph crosses the y - axis at $(0,0)$.

Answer:

Max: $(0,0)$
Min: $(-3,-3),(6,-9)$
x - intercepts: $x=-4,x = 0,x = 8$
Leftmost: $x=-5$
Rightmost: $x = 9$
y - intercept: $(0,0)$