## How to Determine if a Graph is a Function – Quick Guide to Understanding Graphs

To determine if a graph is a function, I first check whether every vertical line I can draw on the graph intersects it at no more than one point. This is known as the vertical line test. It’s a simple method that visually confirms whether a set of points on a graph represents a function, […]

## Function and Not a Function – Understanding the Difference

A function is a fundamental concept in mathematics that I find crucial in the realm of algebra and beyond. It pertains to a specific type of relation that pairs each element in a set, known as the domain, with exactly one element in another set, known as the range. In more formal terms, for every […]

## How to Find the Symmetry of a Function – Easy Identification Tips

To find the symmetry of a function, I first consider the visual patterns displayed when the function’s graph is plotted. Reflective symmetry in a graph occurs when two halves mirror each other across a line—either the y-axis for even functions or the origin for odd functions. Identifying symmetry can simplify the graphing process and deepen […]

## How to Find Discontinuity of a Function – A Step-by-Step Guide

To find the discontinuity of a function, I first examine points where the function is not defined, such as values that result in a division by zero. Understanding discontinuity is essential because it reveals where a function breaks, which is crucial for an accurate analysis of its behavior. For instance, with a rational function, like […]