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.
Thus, 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 earlier, 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.
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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're going to 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
(Enem 2018 – PPL) An automobile industry is testing a new car model. Fifty liters of fuel is placed in the tank of this car, which is driven on a test track until all the fuel has been used up. The straight segment in the graph shows the result of this test, in which the amount of fuel in the tank is indicated on the y (vertical) axis, and the distance traveled by the car is indicated on the x axis. (horizontal).
The algebraic expression that relates the amount of fuel in the tank and the distance covered by the car is:
(Encceja 2018) A service provider charges for the visit to the customer's home and for the time necessary to perform the service at the home.
The cost of the visit is R$40 and the hourly value for the service is R$20.
An expression that indicates the amount to be paid (P) as a function of the hours (h) required to perform the service is:
