is-the-set-of-points-on-a-circle-a-function-explain-why-or-why-not

Name: is the set of points on a circle a function explain why or why not
Uploaded: 2020-05-20
Duration: 36 s
Channel: Numerade
Description: Is the set of points on a circle a function? Explain why or why not.

Question

Is the set of points on a circle a function? Explain why or why not.

James Kiss · Accepted Answer

all right is a circle of function. Well, if we think about I&#x27;m a circle on the court and plain just in General Fern, given x input, there are two possible, um, whole puts. So if you learned about the vertical line, testes fails the vertical line test. Because the definitional function is for every input, there is exactly one output. And in this visual, there are two. So the circle is not, ah, function.

Ernest Castorena · Answer

So this time, they ask, is the equation of a circle is a function? Okay, well, if the equation of a circle is a function, there are a couple ways to tell. If that&#x27;s terrible. The easiest one is well, looking at the graph. Does it fail the vertical in test? Then it&#x27;s not a function. Unfortunately, circles do right. If we have a circle and it&#x27;s on a graph, we&#x27;ll pick any X value. Go up and down. It touches it twice. There we go. It fails the vertical line test. It&#x27;s not a function, but why does that work? What&#x27;s the underlying thing? Well, functions needs to be well defined for in but to functions name to give a unique Valya for each input. It&#x27;s what Let&#x27;s soc use really nice theory on them. Like Okay, if we have a function, let&#x27;s say Ah and we input X. We should get a single thing. It&#x27;s what a lot of our theory and rules air based off of if we don&#x27;t know what it is like. Oh, no, Maybe f of X could be this thing. Or maybe it could be this thing. It&#x27;ll break a lot of the rules we have set up for functions. So this is what&#x27;s really breaking. Okay, given this choice X is equal to the ring, we didn&#x27;t know whether to give it because you go to the We didn&#x27;t know where they two give it this, like one up. Here are this, like, negative one down here, and that&#x27;s a huge problem. Okay, So either of these ways, we&#x27;ll help you see that the equation of a circle is not a function.

Rebecca Dias · Answer

determine if a graph is a function, then we need to do the vertical line test. The vertical lines test states that if we draw vertical line anywhere on our graph that it should only touch acing point. And we can see immediately that if we draw a vertical line, it touches more than one point on that line. So that means that this graph, which is a circle, does not pass the vertical line test, so that means a circle is not a function.

Heather Zimmers · Answer

all right. So a circle is defined as the set of points of fixed distance from a fixed point. So the fixed point is the center and the fixed distances the radius. And so all the points that air the distance, whatever it is, our from the center are the points of the circle. So notice that the center itself is not a distance of our from the center center is zero units from the center. So no, the center is not a point on the circle, so the graph of a circle does not include the center. We like to graph the center because it helps us in the process of graphing. But the circle itself is only the points around the center.

James Kiss · Answer

think of the graph of a circle. It doesn&#x27;t satisfy the definition of a function. Because maybe you&#x27;ve heard of the vertical line test. If we have a given input in there is more than one output that goes against the definition of a function. Uh, because so we can say, doesn&#x27;t, um, satisfying the function? Because for some inputs, there are two outputs, not exactly one.

Heather Zimmers · Answer

Okay, well, we want to figure out if a point could be iconic Section and iconic section is an intersection of a plane and a cone. And here I have two cones drawn because some connick sections really require that. But I suppose if I took a plane and I intersected it right there at the chip of the cone, either cone, then all we would have is a point. So technically, yes, a point could be iconic section now, Typically, the Connick sections we study are circles, parabolas, ellipses and hyper Ballis. But in theory, according to this plane definition, a point counts.

Problem

Explain why $(x-h)^{2}+(y-k)^{2}=-4$ is not the e…

Problem 1 Easy Difficulty

Is the set of points on a circle a function? Explain why or why not.

Answer

Not a function

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Not a function

Algebra 2 and Trigonometry

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Ann Xavier GantertAlgebra 2 and Trigonometry

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Ann Xavier Gantert

Algebra 2 and Trigonometry