Anyone here feel like helping Tassen with summer homework? I've got a math packet, and the last 6 problems give me a graph and tell me to "state the dominant range of each..." What the heck is it talking about?
It was a bright cold day in April, and the clocks were striking thirteen. - George Orwell, 1984
Oh man, calculus has destroyed all previous math knowledge. Let's see...
Telling if it's a function or not... Well, if you have graphs, that's easy: use the line test. How do you do that? Simple. Take your pencil, put it on the paper so it's parallel with the y-axis, and slowly move it across the graph. If at any point you see more than one line on the left side of the paper -- like you have a parabola facing to the right, or whatever -- that means it is NOT a function.
Basically, if any given X-value produces more than one Y-value, then it's not a function. Got it?
Now, as for the dominant range... I'm not entirely sure. I believe the "range" is the set of Y-values, yes? So maybe the dominant range is simply the Y-values presented on the graph -- like 0<Y<5, or something. I honestly don't know, sorry!
Good luck!
[Edit] You know, I was thinking, and maybe it's a typo? Maybe it should be "Find the domain and range of each." One could easily type "dominant range" instead of "domain and range" if one was not paying attention. I'd go with that, especially if you're just learning them! So the domain is all the X-values on the graph, and the range is all the Y-values. If it's a line, you generally use less than, greater than signs, like 0<X<5, to show the values it covers. Actually, if it includes those end values, you should use "less than or equal to" signs, etc. If there are just points, then list the X-values of those points as the domain and the Y-values of those points as the range. Got it?
I think they're talking about the domain, so basically how far the domain (aka y) stretches.
Hope that helps!
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