Question: Find the indicated values for f(x) = \frac{1}{2}x.
a. f(0)
b. f(2)
c. f(-2)
a. f(0) = \square
1. **State the problem:** We need to find the values of the function $$f(x) = \frac{1}{2}x$$ at $$x=0$$, $$x=2$$, and $$x=-2$$.
2. **Formula:** The function is given by $$f(x) = \frac{1}{2}x$$. This means to find $$f(a)$$ for some number $$a$$, we multiply $$a$$ by $$\frac{1}{2}$$.
3. **Calculate each value:**
a. For $$x=0$$:
$$f(0) = \frac{1}{2} \times 0 = 0$$
b. For $$x=2$$:
$$f(2) = \frac{1}{2} \times 2 = \frac{\cancel{2}}{2} \times \cancel{1} = 1$$
c. For $$x=-2$$:
$$f(-2) = \frac{1}{2} \times (-2) = \frac{\cancel{2}}{2} \times (-\cancel{1}) = -1$$
4. **Final answers:**
a. $$f(0) = 0$$
b. $$f(2) = 1$$
c. $$f(-2) = -1$$
This shows how to evaluate the function at different points by multiplying the input by $$\frac{1}{2}$$.