Question

Dada a função f(x) = x/3 +5/4. Determine a raíz da função e os coeficientes angular e linear *

A)x= -15/4, a = 1/3 e b= 5/4
B)NDA
C)x= 5/4, a= 1/3 e b= 5/4
D)x=15/4, a= 1/3 e b=5/4
E)x=-5/4, a = 1/3 e b= -15/4​

Answer 1

$\large{ \boxed{ \boxed{ \tt \:A) \: x = - \frac{15}{4} \: , \: a = \frac{1}{3} \: e \: b = \frac{5}{4} }}}$

Temos a função dada por:

$\large{ \tt \:f(x) = \frac{x}{3} + \frac{5}{4} }$

$\large{ \tt \blue{ \to Raiz{ : } }} \\ \\ \large{ \tt \: f(x) = 0} \\ \\ \large{ \tt \: \frac{x}{3} + \frac{5}{4} = 0} \\ \\ \large{ \tt \: \frac{x}{3} = - \frac{5}{4} } \\ \\ \large{ \tt \: x = - \frac{5}{4} \cdot3 } \\ \\ \large{ \tt \: x = - \frac{ 15}{4} }$

Dada a função do primeiro grau:

$\large{ \tt f(x) = ax + b} \\ \\ \large{ \tt \: a \to \: Coeficiente \: angular} \\ \\ \large{ \tt \: b \to \:Coeficiente \: linear }$

Logo:

$\large{ \tt \orange{ \to \: Coeficiente \: angular {: }}} \\ \\ \large{ \tt \: a = \frac{1}{3} }$

$\large{ \tt \red{\to Coeficiente \: linear{ : }}} \\ \\ \large{ \tt \: b = \frac{5}{4} }$