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 = x^2 ln x/4

Analyzed and Sketched.

Step-by-step explanation:

We are given .

For sketching graph, we need to determine the following.

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.

is absolute minimum.

is point where concavity changes from down to up.

Since it is logarithmic function, the graph covers right side of the x-axis and it cannot take the value pair (0,0)

The sketch is in attachment.

part a

x     y

0     8

1     7.5

2     7

3     6.5

4     6

5     5.5  

for every hour i deducted .5 inches from the length of the candle

part b

it is a function because for every x value there is only one y value

part   c

for every x value there is only one y value

x       y

0       8

1       7.6

2       7.2

3       6.8

step-by-step explanation: