smurfy14
  • smurfy14
Does this graph have any minimums or maximums?
Mathematics
  • Stacey Warren - Expert brainly.com
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jamiebookeater
  • jamiebookeater
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smurfy14
  • smurfy14
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anonymous
  • anonymous
min is -2 when x = -3
anonymous
  • anonymous
looks like no max but we only see part of the graph

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More answers

anonymous
  • anonymous
(-3, -2) is the minumum but no maximum
smurfy14
  • smurfy14
thats the whole graph i think it just keeps going
smurfy14
  • smurfy14
thanks!
anonymous
  • anonymous
hold the phone. minimum means minimum value that y takes on. the minimum is not a coordinate. the minimum is a number. in this case it is -2
anonymous
  • anonymous
there is no minium
anonymous
  • anonymous
who's to say it continues in a postitve direction?
anonymous
  • anonymous
There is domain and range both of which have a minimum value in this case,
smurfy14
  • smurfy14
wow im confused
anonymous
  • anonymous
the only information you know is that if it is a function x=-3 is the beggining of the domain but yo udon't have any range info
anonymous
  • anonymous
This graph represents a function of x. The domain of a function is all permissable values of x. The range, all permissable values of y Hence minimum value of x = -3 and minimum value oy y = -2
smurfy14
  • smurfy14
hey gianfranco is what satellite said earlier true?
anonymous
  • anonymous
yes. this is a never ending source of confusion. the minimum is the output, not the input.
anonymous
  • anonymous
Of course, satellite is always right.
anonymous
  • anonymous
for example, if the function is \[f(x)=x^2-5\] the minimum value is -5
anonymous
  • anonymous
the fact that this function takes on the value of -5 when x = 0 does not make the minimum (0,-5) the minimum is a number, not a coordinate
anonymous
  • anonymous
and no, i am often wrong!
smurfy14
  • smurfy14
ok im going to take your word on it but what ecin is saying is reasonable too
smurfy14
  • smurfy14
ah so what should i put as the answer??
anonymous
  • anonymous
I think it is better to acknowledge the point at which the graph takes a minimum vale which includses voth domain and range,
anonymous
  • anonymous
value
anonymous
  • anonymous
There is a minimum. There is no max because the graph appears to be cut off and 'continues' though we can't see it.
smurfy14
  • smurfy14
um we kinda alread acknowledged that lol
anonymous
  • anonymous
there's no minimum
anonymous
  • anonymous
jesus
anonymous
  • anonymous
f(x) = x^2 -5 and it is said the minimum value is =-5 and to be clear you are saying the minimum value is the y value then you are saying f(-5) = (-5)^2 -5 which is not true. this implies -5 = 20
anonymous
  • anonymous
oh. wait i didn't see the equation sorry
anonymous
  • anonymous
I just saw the graph lol
smurfy14
  • smurfy14
ecin there was no equation
anonymous
  • anonymous
then there's no minimum
anonymous
  • anonymous
you don't know what happens outside. You are garanteed a min domain x-coordinate
smurfy14
  • smurfy14
well given that the graph doesnt show which way it continues i think (-3,-2) is correct
anonymous
  • anonymous
that's my point exactly
anonymous
  • anonymous
Look at the graph Smurfy the dot at the left hand side implies there ore no lower points on the graph in terms of numerical value, so give both x and y values for sheer safety :) The fact that there is no point on the right of the graph implies it goes on to infinity,
anonymous
  • anonymous
picture a capacitor graph before it discharges
anonymous
  • anonymous
you don't konw the lim x->inf
smurfy14
  • smurfy14
gian you are right and based on http://tutorial.math.lamar.edu/Classes/CalcI/MinMaxValues.aspx example four the minimum is probably x=-3
anonymous
  • anonymous
Definitely not probably I can assure you :)
smurfy14
  • smurfy14
ok well should i pout x=-3 or a coordinate?
smurfy14
  • smurfy14
*put
anonymous
  • anonymous
in example 4 . the x doesn't increase anymore showing you tahat theres o more inclrease or decrease
anonymous
  • anonymous
do what you want. I'm tired of arguing.
anonymous
  • anonymous
Coordinate but remember to state that it is a definite minimum, and importantly also state that there is no maximum.
smurfy14
  • smurfy14
what do you mean by definite minimum? and ok
anonymous
  • anonymous
he means i'm wrong, where i stand on my belief i'm right
anonymous
  • anonymous
Well Ecin, the question doesn't ask about extemum, os the point would at least be considered relative minimum.
anonymous
  • anonymous
it's a local min for sure
anonymous
  • anonymous
This is getting a little heavy. Look at the graph. It is not complicated. It shows that the graph does not extend beneath the coordinate (-3, -2) and also it does not 'appear' to have a resting place in the first quadrant .
anonymous
  • anonymous
the minimum value means the minimum output, not the minimum input. if your domain is all real numbers then there is no minimum input. so say that the minimum value of \[f(x)=x^2-5\] is -5 means this is the smallest output you can get. it does not say that the minimum possible value of x is -5, nor does it say what \[f(-5)\] is
anonymous
  • anonymous
if you are taking calc you will frequently have to find the maximum or minimum value of a function. to do this you will probably have to find the value of x that gives it to you. say the minimum values occurs when x = 7. that does not mean the minimum value is 7. that means the minimum value is f(7) whatever that may be.

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