<p>How do you solve range questions and those involving maximum minimum questions?
Graphing calculator according to Barrons. But i dont own one and many have said that it really isnt necessary. I love my scientific one which i have been using due to its natural display. Can someone tell me an algebraic way or solving range and maximum/minimum questions?
I dont understand that axis or symmetry.. how can it be used for both maximum and minimum. Or am i messed up?</p>
<p>hmm usually cb give questions like :
y=a(x-h)^2+k
when x=h,that's usually the min, its helpful to know how the graph looks like, open up or down, shiftings.
the K up there indicates the graph moving up or down, depending on the sign.
its better if u check out a book about these, ..</p>
<p>Yeah i learnt how the graphs look like
ax^2+bx=c</p>
<p>when a= negetive 'U' (alphabet) graph
when a= positive upside down U</p>
<p>when c= negetive , y intersept negetive
when c= positive , y intersept positive</p>
<p>right?</p>
<p>To solve for the maximum or minimum of a parabola, just find 2 points that have the same value. Exactly in between those points will be the min or max. Then just solve for that point.</p>
<p>Same thing for ranges. Just find the min or max and determine which way the graph goes.</p>
<p>There is also a way to solve algebraically if you have a minimal understanding of calculus and derivatives. The minimum or maximum occurs when the derivative is equal to 0.</p>
<p>Bump
Bump
Bump</p>
<p>Though maxima and minima is solved by Differential Calculus as the OP stated, I have never encountered such a question in the SAT - not even on the SAT Level 2 Subject Test. It would take too much time. You'd have to first differentiate it to find a point where dy/dx=0 and then you'd have to find the second derivative to determine if the point is a maxima or minima (necessary if the graph has both maxima and minima). This would NEVER be tested on the SAT Reasoning Test.</p>
<p>Perhaps you could show us an exemplary question?</p>