Question

Find f(3) for the piece-wise function

Answer 1

`f(3) = 0`

Explanation:

When dealing with a singular input and its corresponding output for a piecewise function, we only have to use one piece whose domain the input is within.

In this case, we can see that the input is 3. Therefore, we should plug this value into the piece with a domain of x > 0 (because 3 > 0), which is:

`f(x) = -(4)/(3)x + 4 \ \ \text{ if } x > 0`

↓ plugging in 3 for x

`f(3) = -(4)/(3)\cdot 3 + 4`

`f(3) = -4 + 4`

`\boxed{f(3) = 0}`