What is a function? Explained in one lesson, plus graphing.

In this video, we'll be graphing two functions: · A linear function y = 2x + 5 (a straight line); · A quadratic function y = x² + 1 (a parabola). For the first, two points will suffice because it's a straight line. For the second, more points are needed. We'll first calculate everything in a coordinate table and then transfer them to the plane. We'll start with the most important: ✔ What does a notation like y = 2x + 5 mean? ✔ How to substitute x values ✔ How to calculate the corresponding y values ✔ How to create a table of values Using the example of the linear function y = 2x + 5, we'll step by step: – Substitute positive and negative numbers – Analyze fractional values – Calculate the coordinates of the points – Mark them on the coordinate plane – Plot a line using two or more points – Check the correctness of the plot After that, we'll analyze the quadratic function y = x² + 1 and learn: ✅ Why a parabola is formed ✅ Why the values ​​at x and –x are the same ✅ Why using just two points is not enough ✅ How to correctly plot a symmetrical graph You'll see: – How to construct a table of values – How to work with negative numbers – How squaring affects the sign – How to accurately plot a graph This lesson Suitable for: 💡 School students 💡 Those beginning to learn functions 💡 Test preparation 💡 Graph review After viewing, you'll understand not only how to calculate, but also why a graph looks the way it does. Telegram: https://t.me/icanmathalgebra