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anonymous
 one year ago
Given the function f(x) = 2 x5/2+6 and the graph g(x) shown below, over what interval do the functions f(x) and g(x) have the same minimum value?
(Since I cannot graph g(x), its equation is 2x+0.5 3 )
@amistre64 @whpalmer4
anonymous
 one year ago
Given the function f(x) = 2 x5/2+6 and the graph g(x) shown below, over what interval do the functions f(x) and g(x) have the same minimum value? (Since I cannot graph g(x), its equation is 2x+0.5 3 ) @amistre64 @whpalmer4

This Question is Closed

amistre64
 one year ago
Best ResponseYou've already chosen the best response.1what does it mean to have the same minimum value?

amistre64
 one year ago
Best ResponseYou've already chosen the best response.1well, it can mean 2 things to me ... what are your thoughts?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I'm assuming it means the smallest value where they intersect

amistre64
 one year ago
Best ResponseYou've already chosen the best response.1that was one idea, does f(c) = g(c) ?? this doesnt sit right to me tho. given an interval x = [a,b] f and g have a minimum value within it such that say f(c) = g(d)

amistre64
 one year ago
Best ResponseYou've already chosen the best response.1dw:1443371069792:dw

amistre64
 one year ago
Best ResponseYou've already chosen the best response.1if we have this sort of interval, then we see we have 2 different minimums dw:1443371139444:dw

amistre64
 one year ago
Best ResponseYou've already chosen the best response.1what are our vertexes?

amistre64
 one year ago
Best ResponseYou've already chosen the best response.1and do we have options since there are about an infinite number of intervals we can make that satisfy the results...

amistre64
 one year ago
Best ResponseYou've already chosen the best response.1what is our vertex of g?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The answer choices are A [0,8] B [1,7] C [2,5] D [5,1] E None of these

amistre64
 one year ago
Best ResponseYou've already chosen the best response.1dw:1443371398297:dw oh good, choices, then we have something we can compare

amistre64
 one year ago
Best ResponseYou've already chosen the best response.1what is our vertex of g, our biggest interval will then be along the y= axis of that vertex

amistre64
 one year ago
Best ResponseYou've already chosen the best response.12x+0.5 3 ) 0.5, 3 is what it looks like to me, so when does f=3?

amistre64
 one year ago
Best ResponseYou've already chosen the best response.1you have to solve for it ... 2 x5/2+6 = 3 2 x5/2 = 36 x5/2 = (3+6)/2 etc ...

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok so what would that be?

amistre64
 one year ago
Best ResponseYou've already chosen the best response.1im not going to do the algebra for you ...

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0xd ok bare with my laziness gimme a sec

amistre64
 one year ago
Best ResponseYou've already chosen the best response.1good, so this gives us the largest interval that the minimum of f and g are the same. any option of x < 2 is bad, and any option of x>7 is bad ... can we rule any out?

amistre64
 one year ago
Best ResponseYou've already chosen the best response.1outside of 2 to 7, the min of f drops below the min of g .... g cant go lower than its vertex by default

amistre64
 one year ago
Best ResponseYou've already chosen the best response.1D is bad, and A goes to 8 so it is bad for us too

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So is the answer none of these?

amistre64
 one year ago
Best ResponseYou've already chosen the best response.1dw:1443372355236:dw

amistre64
 one year ago
Best ResponseYou've already chosen the best response.1now, if our interval does NOT include 0.5, then it cannot include 2 or 7 but our only options left have 2 or 7 involved. which one does not contain x=0.5?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So it's none of these?

amistre64
 one year ago
Best ResponseYou've already chosen the best response.1you havent answered my question ...

amistre64
 one year ago
Best ResponseYou've already chosen the best response.1if your not understanding what I am asking for, then say so ...

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yeah what are you trying to ask?

amistre64
 one year ago
Best ResponseYou've already chosen the best response.1im asking for an interval which contains x=0.5 draw me a number line, 2 to 7 .. and tic off 0.5 for me

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1443372753726:dw

amistre64
 one year ago
Best ResponseYou've already chosen the best response.1now show me on that drawing, where 1 to 7 fits in ..

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1443372851792:dw

amistre64
 one year ago
Best ResponseYou've already chosen the best response.1dw:1443372874804:dw is 0.5 in the interval from 1 to 7?

amistre64
 one year ago
Best ResponseYou've already chosen the best response.1is 0.5 in the interval from 2 to 5?

amistre64
 one year ago
Best ResponseYou've already chosen the best response.1then we should pick that one.

amistre64
 one year ago
Best ResponseYou've already chosen the best response.1i would go with C yes
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