holezch
Apr30-10, 04:58 PM
Hi, I need help with this definition. It seems pretty vague to me:
A function f is increasingat a if there is some number delta > 0 such that
f( x ) > f ( a ) if a < x < a + (delta)
and
f( x ) < f( a ) if a - (delta) < x < a
My problem is that 'x' was never quantified... is this for ANY x that satisfies a < x < a + (delta), or some x that satisfies a < x < a + (delta) ?
thanks....
A function f is increasingat a if there is some number delta > 0 such that
f( x ) > f ( a ) if a < x < a + (delta)
and
f( x ) < f( a ) if a - (delta) < x < a
My problem is that 'x' was never quantified... is this for ANY x that satisfies a < x < a + (delta), or some x that satisfies a < x < a + (delta) ?
thanks....