Ex # 1.1 Q # 4 Part (i) , (ii) and (viii) | Questions involving domain & range

Determining the domain and range of a function involves understanding its input and output values.
For instance, consider the linear function f(x) = 2x - 5.
The domain of a function is the set of all possible input values (x-values) that the function can accept.
For f(x)=2x−5, there are no restrictions on x; hence, the domain is all real numbers, denoted as (−∞,∞).
The range of a function is the set of all possible output values (y-values) that the function can produce.
Since f(x)=2x−5 is a linear function with a non-zero slope, it can produce any real number as an output. Therefore, the range is also (−∞,∞). Other examples include g(x)= √x, where the domain is [0,∞) and the range is [0,∞), and h(x)=1/x, with a domain of (−∞,0)∪(0,∞) and a range of (−∞,0)∪(0,∞).
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