Determine whether the relationship being represented is Linear, Exponential or Neither : LaTeX: f\left(x\right)=\frac{1}{3}x+2f ( x ) = 1 3 x + 2 Group of answer choices Linear Exponential Neither

Respuesta :

Answer:

Linear

Step-by-step explanation:

Given

[tex]f\left(x\right)=\frac{1}{3}x+2[/tex]

Required

Determine the relationship

From the group of options, Linear answers the question.

This is so because, a linear equation is of the form: [tex]f(x) = ax + b[/tex]

By comparing [tex]f(x) = ax + b[/tex] with [tex]f\left(x\right)=\frac{1}{3}x+2[/tex], we have that:

[tex]a = \frac{1}{3}[/tex]

[tex]b = 2[/tex]

and

[tex]f(x) = f(x)[/tex]

Hence, the equation is a linear equation