Answer:
- domain: all real numbers (-∞, ∞)
- range: all non-negative numbers [0, ∞)
Step-by-step explanation:
You want the domain and range of the function ...
f(x) = 5·|x|
Domain
The domain of the function is the set of values of x for which it is defined. Here, the absolute value function is defined for all values of x.
The domain is all real numbers.
Range
The range is the set of output values the function can produce. The absolute value function can produce any non-negative number.
The range is all real numbers greater than or equal to zero.
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