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13 Nov 2019
Let f(x)=8x+2/x. Find the open intervals on which f is increasing (decreasing). Then determine the x-coordinates of all relative maxima (minima).
1. f is increasing on the intervals= (-INF,-1/2),(1/2,INF) 2. f is decreasing on the intervals= (1/2,-1/2) this one is the one I got wrong 3. The relative maxima of f occur at x =-1/2 4. The relative minima of f occur at x =1/2
Notes: In the first two, your answer should either be a single interval, such as (0,1), a comma separated list of intervals, such as (-inf, 2), (3,4), or the word "none".
In the last two, your answer should be a comma separated list of x values or the word "none".
Let f(x)=8x+2/x. Find the open intervals on which f is increasing (decreasing). Then determine the x-coordinates of all relative maxima (minima).
| 1. | f is increasing on the intervals= (-INF,-1/2),(1/2,INF) | |
| 2. | f is decreasing on the intervals= (1/2,-1/2) this one is the one I got wrong | |
| 3. | The relative maxima of f occur at x =-1/2 | |
| 4. | The relative minima of f occur at x =1/2 |
Notes: In the first two, your answer should either be a single interval, such as (0,1), a comma separated list of intervals, such as (-inf, 2), (3,4), or the word "none".
In the last two, your answer should be a comma separated list of x values or the word "none".
Elin HesselLv2
29 Sep 2019
