Hey can someone please explain to me how to figure out how to match slope fields to their graphs without the use of a calculator?
for problem such as these: y'=-y b) y'=x-y
c) y'=1/y

Question

Hey can someone please explain to me how to figure out how to match slope fields to their graphs without the use of a calculator?
for problem such as these: y'=-y b) y'=x-y 
c) y'=1/y

amistre64 · Answer

you simply have to plot the slope/vector representations on a piece of paper... right?

anonymous · Answer

im given the graphs but i want to know how can it up.

anonymous · Answer

match it up*

amistre64 · Answer

well, my guts says to connect the slopes from end to end to determine what they look like at the given points.... for example:  y'=-y

anonymous · Answer

do you know how i can do it with finding the zeros

amistre64 · Answer

not exactly, but I do know that when y'=0 ; you have a high or low point, or even an inflection.  You determine that by seeing if the sign of the slope changes; then its a high or low; or stays the same, then its an inflection....

amistre64 · Answer

by finding the zeros, you mean to determine f(x) from the f(x) = 0 information?

amistre64 · Answer

f'(x) = 0 stuff..that is

anonymous · Answer

like this say 0=-y

amistre64 · Answer

hmm ... that doesnt look familiar to me, id wanna say that that simply means the y = 0 but without the proper context its hard to say..

anonymous · Answer

okay thanks for your help