Question

Identify the function graphed as linear or nonlinear. Then an estimate and interpret the intercepts of the graph, any symmetry, where the function is positive, and negative, increasing, or decreasing, and the x-coordinate of any relative extrema of the graph.

Answer 1

In this question we are asked for intercepts, Symmetry, Positive, Negative, Increasing, Decreasing and Relative extrema.

1. As we see from the graph, it intercepts at two points on the x-axis at 0 and 120.

2. As we see from the graph It has Symmetry about the line x = 60.

3. As we see from the graph it is positive in the interval (0,0) to (120,0)

4. As we see from the graph it is negative in the interval when the curve goes down the x-axis

5. As we see from the graph it is decreasing at every point.

6. As we see from the graph it is not increasing.

7. As we see from the graph the extrema is the upper most point of the curve.