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Complete the definition of the piecewise defined function by identifying the domain of each piece. g (x) = startlayout enlarged left-brace first row x 4, negative 5 less-than-or-equal-to x less-than-or-equal-to negative 1 second row 2 minus x, negative 1 less-than x less-than-or-equal-to 5 endlayout a = b =

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Lanuel

Since a domain is the range of the assigned value (x), the domain of this piecewise-defined function are:

  • a = 1.
  • b = 3.

What is a piecewise-defined function?

A piecewise-defined function can be defined as a type of function that is defined by two (2) or more mathematical expressions over a specific domain such as:

[tex]f(x)=\left \{ {{-x}, \atop {(x-3)^2 - 1}} \right.[/tex]

Based on the graph of the piecewise-defined function, we can deduce the following points;

When x < 1, we have:

f(x) = -x.

When 1 ≤ x < 3, we have:

f(x) = -1.

When x ≥ 3, we have:

f(x) = (x - 3)² - 1.

Since a domain is the range of the assigned value (x), we have:

  • a = 1.
  • b = 3.

Read more on piecewise-defined function function here: https://brainly.com/question/15476150

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Answer:

1 and 3

Step-by-step explanation:

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