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# DESARROLLANDO MI PENSAMIENTO LOGICO Nº 11

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## treysy cabanillas chilon

on 25 June 2015

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#### Transcript of DESARROLLANDO MI PENSAMIENTO LOGICO Nº 11

DESARROLLANDO MI PENSAMIENTO LOGICO Nº 11
función LINEAL
NIVEL 1

I. Para cada una de las siguientes funciones, escribe a qué clase pertenece, y grafica. Asimismo, establece su dominio y rango

f(x)=2x+7,y E├]–∞,3]
f(x) = 2x + 7
y = 2x + 7
(y - 7) / 2 = k
y E < - ∞, 3]
-∞ < y ≤3
- ∞ < y - 7 ≤ -4
- ∞ < (y - 7)/2 ≤ -2
- ∞ < x ≤ -2

f(x)= -3/2 x-2 ,x∈├]-1,+∞┤[
7y = 5x + 3
(7y - 3)/5 =x
0 < y < +∞
0 < 7y < +∞
-3 < 7y - 3 < +∞
-3/5 < (7y - 3) / 5 < +∞
-3/5 < x < +∞
D: < -3/5;+∞

f(x) = ax + b

-2
3
Dominio = < - ∞, -2]

x
y
-1
- 1/2
0
-2
-1 < x < +∞
-3< 3x < +∞
-3/2< 3x/2< +∞
+∞ < -3x/2 < 3/2
+∞ < (3x/2) - 2 < 3/2
Rango = < -∞, -1/2>
f(x)=(5x+3)/7, y∈├]0,+∞┤[
(y^2-y^1)/(x^2-x^1 )=8/(-4)= -2

F(x) = -2x + 4

8 = -2 (-2) + b
4 = b
0 = -2 (2) + b
0 = -4 + b
4 = b
x 6 12 24 48
y 4 8 16 32

f(x) = mx + b f(x) = 2/3x
m = 4 / 6 = 2/3
4 = 2/3 (6) + b
0 = b
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