The problem asks to graph the function $f(x) = \frac{1}{2}x + 6$. This is a linear function with a slope of $\frac{1}{2}$ and a y-intercept of 6.

1. Problem Description

The problem asks to graph the function $f(x) = \frac{1}{2}x + 6$. This is a linear function with a slope of $\frac{1}{2}$ and a y-intercept of

6.

2. Solution Steps

To graph a linear function, we need to find two points on the line.

* First, let's find the y-intercept. This is the point where $x = 0$.

$f(0) = \frac{1}{2}(0) + 6 = 6$. So the y-intercept is $(0, 6)$.

* Next, let's find another point on the line. We can choose any value for $x$. Let's choose $x = 2$.

$f(2) = \frac{1}{2}(2) + 6 = 1 + 6 = 7$. So another point on the line is $(2, 7)$.

Now we have two points, $(0, 6)$ and $(2, 7)$. We can use these to graph the line.

3. Final Answer

$f(x) = \frac{1}{2}x + 6$