Final answer:
To find the average value of f(x) from x=0 to x=7, we need to find the area under the graph from x=0 to x=7 and then divide that by the width of the interval, which is 7.
Step-by-step explanation:
To find the average value of f(x) from x=0 to x=7, we need to find the average height of the graph in that interval. We can do this by finding the area under the graph from x=0 to x=7 and then dividing that by the width of the interval, which is 7. The average value (AV) is given by:
AV = (1/7) * ∫07 f(x) dx
To find the area under the graph, we can divide it into rectangular strips with a small width. Then we can sum up the areas of all the strips to get the total area. The height of each strip is the value of f(x) at that particular x. Once we have the total area, we divide it by 7 to get the average value.