How do you find the range of $y=3x+4$ for the domain {2,9, 11.5}?

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Answer 1 · 2016-07-31T19:02:56

Range $={10,31,38.5}$

Let $y=f(x)=3x+4, where, x in {2,9,11.5} =D_f, say$

The Range of $y = f$ is denoted by $R_f$ , and, is defined by,

$R_f={f(x) : x in D_f}$

$={f(2), f(9), f(11.5)}$

Here, $f(x)=3x+4 rArr f(2)=3xx2+4=10$

Similarly, $f(9)=31, and, f(11.5)=38.5$

Hence, $R_f={10,31,38.5}$

How do you find the range of y=3x+4y=3x+4 for the domain {2,9, 11.5}?