For fractions remeber the bottom cannot be 0 or it would be no solution. And for roots the inside has to he bigger than or = 0. These are hints now u can figure it outCan anyone help me out with finding the domain and range of these questions (algebraically, not graphically), any advice or tips is appreciated, thanks so much!
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I understand how to figure out the domain but finding the range is difficult, how do you find it?For fractions remeber the bottom cannot be 0 or it would be no solution. And for roots the inside has to he bigger than or = 0. These are hints now u can figure it out
i just draw the graphI understand how to figure out the domain but finding the range is difficult, how do you find it?
Is it not possible to do it algebraically?i just draw the graph
I'll send some overBtw does anyone know where I can find more questions like these?
Thank you so muchI'll send some over
F.D.T for lifeIf you’re not too good at inspecting the equation to find the minimum/maximum values of y, then you can use calculus to investigate the nature of turning points.
Yes, by finding the maximum and minimum turning points, though you’re effectively trying to find the properties of the graph in doing so.Is it not possible to do it algebraically?
I'm so sorry but could you please explain how to find the max and min turning points?Yes, by finding the maximum and minimum turning points, though you’re effectively trying to find the properties of the graph in doing so.
It’s better to think of these as “tools” you could potentially use rather than as prescribed methods. Techniques like “solving the equation of the denominator” don’t work if the function doesn’t have a denominator to solve in the first place!Ok so basically you have to draw a rough sketch of the graph to find the range (or alternatively you can do calculus), and for domain you can find it by solving the equation in the denominator (thus finding the asymptotes and domain)
I don't want to use those tools too often because it only works for certain equations so what would be a "clear" method to solve these?And yes, I do agree with Trebla above, that it’s better to think of these as “tools” you could potentially use rather than as prescribed methods.
However, I do understand that some people prefer to learn with a clear method, and if that's what you want to use, that should be fine too!