Analyzing a graph in exercise, analyze and sketch the graph of the function. lable any relative extrema, points of inflection, and asymptotes. see example 6.
y = ln 2x - 2x2

Analyzed and Sketched.

Step-by-step explanation:

We are given .

We need to find the following to sketch the graph.

1) First derivative of y with respect to x to determine the interval where function increases and decreases.

2) Second derivative of y with respect to x to determine the interval where function is concave up and concave down.

The roots are x = -1/2 and x = 1/2 but negative one cannot be possible due to logarithmic function.

x = 1/2 is absolute maximum.

So, concavity is always down.

Here, x = 0 is vertical asymptote.

I attached the picture of sketched graph.

sup

step-by-step explanation:

the answer is 2/54

step-by-step explanation: