| 8 - 2x | > (or equal to) x? find the absolute value
1 answer:
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Answer:
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.
