Analyzing a graph in exercise, analyze and sketch the graph of the function. label any relative extrema, points of inflection, and asymptotes.
y = in x^2/ 9 - x^2

analyzed & sketched

Step-by-step explanation:

We are given the function:

The first derivative to find the region for increase and decrease:

decreasing in (0,1), increasing in (1,3)∪(3,∞)

So, x = 1 is local minimum.

x = 3 is vertical asymptote.

The second derivative to find concave up and concave down:

concave up in (0,3), concave down in (3,∞)

The sketch is given in the attachment.

answer: expected value of x = 1.0

step-by-step explanation:

p(x=0) = 0.25

p(x=1) = 0.50

p(x=2) = 0.25

expected value for x = 0×0.25 + 1×0.5 + 2×0.25 = 1.0