Given the function f(x) = -2 |x-5/2|+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 2|x+0.5| -3 )

@amistre64 @whpalmer4

Question

Given the function f(x) = -2 |x-5/2|+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 2|x+0.5| -3 )

@amistre64 @whpalmer4

amistre64 · Answer

what does it mean to have the same minimum value?

anonymous · Answer

No idea. xD

amistre64 · Answer

well, it can mean 2 things to me ... what are your thoughts?

anonymous · Answer

I'm assuming it means the smallest value where they intersect

amistre64 · Answer

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)

amistre64 · Answer

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