Funções do primeiro grau - aula 02 - Summary

Summary

Marcos Aba continues his lesson on first-degree functions, focusing on the graph of the function and its properties. He explains the Cartesian coordinate system, the significance of the coefficient 'a' as the angular coefficient, and how it influences the slope of the graph line. Marcos demonstrates how to find the value of 'x' when 'y' is zero, which represents the function's root or zero. He also highlights that 'b' indicates where the line will intersect the Y-axis. The lesson concludes with Marcos encouraging engagement and indicating future lessons with more tips and graphing practice.

Facts

Here are the key facts extracted from the text:

1. A first-degree function has the form FX = ax + b.
2. The graph of a first-degree function is a straight line.
3. The X-axis is the horizontal axis, and the Y-axis is the vertical axis.
4. The point of origin is where the X and Y axes intersect, at (0,0).
5. The value of "a" in a first-degree function is called the angular coefficient.
6. The angular coefficient determines the slope of the line.
7. If a is positive, the line slopes upward; if a is negative, the line slopes downward.
8. If a is zero, the function is not a first-degree function, but a constant function.
9. To find the value of x in a first-degree function, set y to zero and solve for x.
10. To find the value of y in a first-degree function, set x to zero and solve for y.
11. The value of y when x is zero is equal to the value of b in the function.
12. The value of b is where the line touches the Y-axis.
13. The zero of the function is the value of x when y is zero.
14. The root of the function is also called the zero of the function.