Question

Consider this absolute value function.
f(x) = |1 + 3|
How can function fbe rewritten as a piecewise function?

Answer 1

Answer:

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

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

Step-by-step 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:

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

Answer 2

Answer:

The correct order is in the picture i attatched:)

Step-by-step explanation:

Hope this helps explain a little better:)