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Varvara68 [4.7K]
3 years ago
5

Determina en cada caso, si la función corresponde a una función lineal o a una función afín. a. Y = -5x b. Y = -3x – 2 c. Y = 2x

+ 4 d. Y = 1x/4 – 2
Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
6 0

Answer:

Sabemos que una función lineal es de la forma:

f(x) = m*x

Mientras que una funcion afin es de la forma:

g(x) = m*x + n

Entonces para reconocer si una función es lineal o afín, simplemente debemos ver si tenemos un término constante o no (un término constante es un término que no está siendo multiplicado por la variable x).

a) y = -5*x

No tenemos término constante, entonces es una función lineal.

b) y = -3*x - 2

Acá tenemos un término constante igual a -2, entonces esto es una función afín.

c) y = 2*x + 4

Acá tenemos un término constante igual a 4, entonces esto es una función afín.

d) y = (1/4)*x - 2

Acá tenemos un término constante igual a -2, entonces esto es una función afín.

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