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what does it mean to have the same minimum value?
No idea. xD
well, it can mean 2 things to me ... what are your thoughts?
I'm assuming it means the smallest value where they intersect
that 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)
if we have this sort of interval, then we see we have 2 different minimums |dw:1443371139444:dw|
what are our vertexes?
and do we have options since there are about an infinite number of intervals we can make that satisfy the results...
Im lost xd
what is our vertex of g?
The answer choices are A [0,8] B [1,7] C [-2,5] D [-5,1] E None of these
|dw:1443371398297:dw| oh good, choices, then we have something we can compare
what is our vertex of g, our biggest interval will then be along the y= axis of that vertex
2|x+0.5| -3 ) -0.5, -3 is what it looks like to me, so when does f=-3?
you have to solve for it ... -2 |x-5/2|+6 = -3 -2 |x-5/2| = -3-6 |x-5/2| = (3+6)/2 etc ...
Ok so what would that be?
im not going to do the algebra for you ...
xd ok bare with my laziness gimme a sec
x = -2 and x = 7?
good, 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?
outside of -2 to 7, the min of f drops below the min of g .... g cant go lower than its vertex by default
I can rule D out
D is bad, and A goes to 8 so it is bad for us too
So is the answer none of these?
now, 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?
So it's none of these?
you havent answered my question ...
All of them?
if your not understanding what I am asking for, then say so ...
Yeah what are you trying to ask?
im asking for an interval which contains x=-0.5 draw me a number line, -2 to 7 .. and tic off -0.5 for me
now show me on that drawing, where 1 to 7 fits in ..
|dw:1443372874804:dw| is -0.5 in the interval from 1 to 7?
is -0.5 in the interval from -2 to 5?
then we should pick that one.
So the answer is C?
i would go with C yes