What is the domain and range of $f(x) = 3+2sinx$ ?

Question

9016 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-01-31T13:14:18

$"The Domain = "RR," and, Range = "[1,5]$ .

We will restrict our discussion in $RR$ .

In $sin x$ , we can take any real no. as $x,$ which means that, the

Domain of $f$ is $RR.$

Next, we know that, $AA x in RR, -1 le sinx le 1$ .

Multiplying by $2>0, -2 le 2sinx le 2,$ &, adding $3$ ,

$-2+3 le 3+2sinx le 2+3 rArr 1 le f(x) le 5.$

$:." The Range of "f" is "[1,5]$ .

Enjoy Maths.!

What is the domain and range of f(x) = 3+2sinxf(x) = 3+2sinx?