Question

Graph the linear function.f(x) = 1/3x + 2

Answer 1

To graph a linear function find three points on it and use them to draw it

$f(x)=\frac{1}{3}x+2$

Let us use x = -3, 0, 3

At x = -3

$\begin{gathered} f(-3)=\frac{1}{3}(-3)+2 \\ f(-3)=-1+2 \\ f(-3)=1 \end{gathered}$

The first point is (-3, 1)

let us use x = 0

$\begin{gathered} f(0)=\frac{1}{3}(0)+2 \\ f(0)=0+2 \\ f(0)=2 \end{gathered}$

The second point is (0, 2)

Let us use x