$g(x)=\left\{\begin{array}{ll}x+4, & -5 \leq x \leq-1 \\ 2-x, & -1
Answer (2)
The function g ( x ) is a piecewise function defined differently on the intervals [ − 5 , − 1 ] and ( − 1 , 5 ] .
For − 5 ≤ x ≤ − 1 , g ( x ) = x + 4 .
For − 1 < x ≤ 5 , g ( x ) = 2 − x .
The domain of g ( x ) is [ − 5 , 5 ] .
Explanation
Understanding the Problem We are given a piecewise function g ( x ) and asked to do something with it, but the question is not specified. Therefore, I will assume the question is to describe the function and its domain.
Describing the Function The function g ( x ) is defined as follows: g(x)=\left{\begin{array}{ll}x+4, & -5 \leq x \leq-1 \ 2-x, & -1
The function g ( x ) is a piecewise function defined for two intervals: x + 4 for − 5 ≤ x ≤ − 1 and 2 − x for − 1 < x ≤ 5 . Its domain is [ − 5 , 5 ] , and specific outputs can be calculated based on the respective interval for the input value of x .
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