Question

Use the given D to find the range of each function: a f(x)=3x−5, D={−1, 0, 3}

Answer 1

Given the domain D = {-1, 0, 3}, the range of f(x) = 3x - 5, is {-8, -5, 4}.

Explanation:

To find the range you have to replace the values indicated by the domain in the function (range refers to "y" values of the function).

f(-1) = -8

f(0) = -5

f(3) = 4.

So the range for the given domain is {-8, -5, 4}.

Answer 2

Answer: The required range of the given function is {-8, -5, 4}.

Step-by-step explanation: We are given to find the range of the following function :

`f(x)=3x-5,~~D=\{-1,0,3\}.`

Since the domain D contains points -1, 0 and 3, so the range will be the following set :

{f(-1), f(0), f(3)}.

We have

`f(-1)=3(-1)-5=-3-5=-8,\\\\f(0)=3*0-5=-5,\\\\f(3)=3*3-5=4.`

Thus, the required range of the given function is {-8, -5, 4}.