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Mathematics 27 Online
OpenStudy (wade123):

someone please explain this CALC prblem step by step for me!

OpenStudy (wade123):

OpenStudy (wade123):

@freckles can you please explain?!

OpenStudy (wade123):

@jim_thompson5910 would you be able to explain this? please!

OpenStudy (wade123):

@jim_thompson5910

OpenStudy (freckles):

what is the highest y value

OpenStudy (freckles):

and for what x does that y occur

OpenStudy (freckles):

oh that isn't f it is f' in drawing

OpenStudy (freckles):

first of all the endpoints are at x=-2 and x=6 and then the critical numbers will occur at the x-intercepts of the f' function there

OpenStudy (freckles):

so we need to consider the following x values: x=-2,x=2,x=4,x=6 the absolute max will occur at at least one of these

OpenStudy (freckles):

oops x=5 not 4

OpenStudy (wade123):

okay got it so far

OpenStudy (freckles):

thinking on the other part like do you have any ideas

OpenStudy (wade123):

i looked though my lesson and couldnt find anything that would help me solve this :/ im looking again

OpenStudy (freckles):

I can tell you I think it isn't 2 or 5 because we have this: |dw:1423609233003:dw| like f'<0 from x=-2 to 4 so we know f is decreasing from x=-2 to 4 and f'>0 from x=4 to 6 so we know f is increasing from x=4 to 6

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