Question

Consider this absolute value function.

f(x) = |1 + 3|
How can function fbe rewritten as a piecewise function?

Answer 1

The correct order is in the picture i attatched:)

Explanation:

Hope this helps explain a little better:)

Answer 2

The function
`f(x) = |x+3|` can be rewritten in the following form:

`f(x) = \left\{\,\begin{array}{ccc}x+3\,\,\,x\ge -3\\-x-3\,\,\,x < -3\end{array}`

Explanation:

According to the definition of absolute value, we know that:

`f(a) = \left\{\,\begin{array}{ccc}a\,\,\,a\ge 0\\-a\,\,\,a < 0\end{array}`

According to this, we can define
`f(x) = |x+3|` in the following form:

`f(x) = \left\{\,\begin{array}{ccc}x+3\,\,\,x\ge -3\\-x-3\,\,\,x < -3\end{array}`