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 =
5
(2 stars)
2
Answer
5
(2 stars)
1
tinchjeffrey
1 year ago
52 response - 0 helps
Answer:
1 and 3
Step-by-step explanation:
Since a domain is the range of the assigned value (x), the domain of this piecewise-defined function are:
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:
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:
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