Which of the following values of $x$ would make the expression $\backslash frac\{x\; +\; 5\}\{x\; -\; 3\}$ undefined?

In a direct variation relationship represented by the equation $y\; =\; kx$, where $k$ is a non-zero constant, the graph of the relationship must always pass through the origin $(0,\; 0)$.

In the direct variation equation $y\; =\; kx$, what is the specific name given to the constant $k$?

Match each mathematical relationship or function property with its corresponding algebraic representation or description to review foundational concepts for rational functions.

Order the following steps to solve for the constant of variation $k$ and find a missing value in a direct variation relationship where $y$ varies directly as $x$.

Sort each mathematical relationship or expression into the correct category based on its structure and behavior.

Arrange the steps for solving a direct variation problem to find a missing value in the correct logical order.

Unscramble the letters to find the term for a line that a graph approaches but never actually touches or crosses as the input values become very large or very small.

Before we begin graphing rational functions and exploring complex variations, let's review foundational concepts. Which of the following statements correctly describe the behavior of functions or the properties of division by zero? Select all that apply.

Which of the following statements correctly describes the behavior of the function $y\; =\; \backslash frac\{k\}\{x\}$ or the relationship between variables in a direct variation $y\; =\; kx$?