Jan 22, 2015 · The only time I saw a meaningful difference was when we covered the equation of a circle and I realized that an equation can describe a circle but a function cannot (a function …

Dec 8, 2014 · The circle $\circ$ is the symbol for composition of functions. In General, if you have two functions $g\colon X\rightarrow Y$ and $f\colon Y\rightarrow Z$, then $f\circ g$ is a …

Jan 13, 2005 · I mathematics, a function is a sort of black box - you put something in, and it spits something out. (There are other ways to think of them as well.) Now, you ask whether a circle …

Jan 13, 2022 · 4 I suppose that what you were told was that a circle is not the graph of a function. That's so because there are vertical lines which intersect a circle more than once.

Dec 21, 2023 · The confusion here seems to be about how translation and other transformations apply to the equation of a circle, which is not a function in the sense of passing the vertical line …

Your very question–“Why is an ellipse not a function?” shows it. When read precisely, the obvious way to answer this question is, “Because an ellipse is a kind of curve, and a function is [to use …

Jun 22, 2023 · A function is a rule that assigns uniquely to a member of domain set, a member of the image set. The key word is "uniquely". So if you assign say 2 as well as -2 to number 1, …

Aug 28, 2010 · The equation of a quarter circle, represented as y = ±√ (r² - x²), is fundamentally the same as that of a half circle, but with specific restrictions on the x-values.

I am helping with homework. I am stumped here - What is the meaning of the small round circle, or small "o" in question 19 (that I underlined) and question 20

Nov 30, 2020 · The curve is indeed not the graph of a function. At any point $ (x,y)$ on the curve, if an open disk about that point is small enough, then that portion of the curve that is within that …