The study of functions is important, since they can be applied in different circumstances: in engineering, in the statistical calculation of endangered animals, etc.
The meaning of function is intrinsic to mathematics, remaining the same for any type of function, be it a 1st or 2nd degree, or an exponential or logarithmic function. Therefore, the function is used to relate numerical values of a given algebraic expression according to each value that the variable x takes.
Therefore, the 1st degree function will list the numerical values obtained from algebraic expressions of the type (ax + b), thus constituting the function f(x) = ax + b.
Mind Map: 1st Degree Function Chart
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Note that to define the 1st degree function, it is enough to have a 1st degree algebraic expression. As stated before, the purpose of the function is to relate for each value of x a value for f(x). Let's look at an example for the function f (x) = x – 2.
x = 1, we have to f(1) = 1 – 2 = –1
x = 4, we have to f(4) = 4 – 2 = 2
Note that the numerical values change as the value of x is changed, so we get several ordered pairs, made up as follows: (x, f (x)). See that for each x coordinate, we will get an f(x) coordinate. This helps in building graphs of the functions.
Therefore, for the study of 1st degree functions to be carried out successfully, it is necessary to understand well the construction of a graph and the algebraic manipulation of the unknowns and coefficients.
By Gabriel Alessandro de Oliveira
Graduated in Mathematics
Source: Brazil School - https://brasilescola.uol.com.br/matematica/funcao-de-primeiro-grau.htm