A piecewise function is defined as shown.

StartLayout enlarged left-brace 1st Row 1st column negative x , 2nd column x less-than-or-equal-to negative 1 2nd Row 1st column 1, 2nd column x = 0 3rd Row 1st column x + 1, 2nd column x greater-than-or-equal-to 1 EndLayout

Respuesta :

The value of f(x) when x = 3 is 4

How to evaluate the piecewise function?

The definition of the piecewise function is given as:

[tex]f(x) = \left[\begin{array}{cc}-x& x \le -1\\1&x = 0\\x + 1&x \ge 1\end{array}\right[/tex]

When x = 3, the domain is [tex]x \ge 1[/tex]

At [tex]x \ge 1[/tex], the function definition is

f(x) = x + 1

So, we have:

f(3) = 3 + 1

Evaluate

f(3) = 4

Hence, the value of f(x) when x = 3 is 4

Read more about piecewise function at:

https://brainly.com/question/14697489

#SPJ1

Complete question

A piecewise function is defined as shown.

[tex]f(x) = \left[\begin{array}{cc}-x& x \le -1\\1&x = 0\\x + 1&x \ge 1\end{array}\right[/tex]

What is the value of f(x) when x=3?