Difference between revisions of "User:Smarty101"

Revision as of 16:05, 25 January 2021

______________ 12/28/2020

His alcumus rating is now about 99.13

Here is one of the hardest problems: Let $p(x)$ be defined on $2 \le x \le 10$ such that $p(x) = \begin{cases} x + 1 &\quad \lfloor x \rfloor\text{ is prime} \\ p(y) + (x + 1 - \lfloor x \rfloor) &\quad \text{otherwise} \end{cases}$ where $y$ is the greatest prime factor of $\lfloor x\rfloor.$ Express the range of $p$ in interval notation.

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 *He has remembered all of the answers to Piecewise-Defined Functions
-*Here is one of the hardest problems: Let <math>p(x)</math> be defined on <math>2 \le x \le 10</math> such that<cmath>p(x) = \begin{cases} x + 1 &\quad \lfloor x \rfloor\text{ is prime} \\ p(y) + (x + 1 - \lfloor x \rfloor) &\quad \text{otherwise} \end{cases}</cmath>where <math>y</math> is the greatest prime factor of <math>\lfloor x\rfloor.</math> Express the range of <math>p</math> in interval notation. Try to solve it.
+*Here is one of the hardest problems: Let <math>p(x)</math> be defined on <math>2 \le x \le 10</math> such that<cmath>p(x) = \begin{cases} x + 1 &\quad \lfloor x \rfloor\text{ is prime} \\ p(y) + (x + 1 - \lfloor x \rfloor) &\quad \text{otherwise} \end{cases}</cmath>where <math>y</math> is the greatest prime factor of <math>\lfloor x\rfloor.</math> Express the range of <math>p</math> in interval notation.
 *Take the buddymeter [https://buddymeter.com/quiz.html?q=rcJkyb2 here]