Question

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

Answer 1

Linear

Explanation:

Given

`f\left(x\right)=(1)/(3)x+2`

Required

Determine the relationship

From the group of options, Linear answers the question.

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

By comparing
`f(x) = ax + b` with
`f\left(x\right)=(1)/(3)x+2`, we have that:

`a = (1)/(3)`

`b = 2`

and

`f(x) = f(x)`

Hence, the equation is a linear equation