Question

What is the range of the functionf(x) = 2x+3when the domain is {-3, -1, 1} ?

Answer 1

`f(x)\text{ = 2x+3}`

and the given domain is (domain is the set of values that function is taking in as input)

`\lbrace-3,-1,1\}`

These three values, now what we need to do is to test these three values in our function and see what output we are getting (Range, output of a function is called the range). so let us do just that, and then see if our answer matches with the given options.

Are you following so far.? Okay so lets do it.

`2\cdot(-3)+3=-6+3=-3\text{ }\rightarrow\text{ for first value.}`
`2\cdot(-1)+3=-2+3=1\rightarrow for\text{ second value from domain.}`
`2\cdot(1)+3=2+3=5\rightarrow for-third-value-from-doman-values_{}`

Now you see, that we have got three value for our out of our function for these three domain values. they are -3,1,5 and this matches with the second option. there