The range of a function is the possible output values the function can take
The range of function g(x) is [tex]g(x) \le 0[/tex]
The function is given as:
[tex]g(x) = a|x|[/tex]
Because g(x) is an absolute function, the value of |x| will always be positive
Since (a) is negative, then the product of (a) and |x| would always be negative or 0
So, we have:
[tex]g(x) \le 0[/tex]
Hence, the range of function g(x) is [tex]g(x) \le 0[/tex]
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