Question

Find the range of the function for the given domain.

f(x) = 3x - 5; {-3,0,1,5[

A {14,-5,-2,10}
B {-9,0,3,15}
C{-5,-2,-1,3}
D {0,3,4,8}

Answer 1

You need to evaluate the function at the given points:

`\begin{array}cx&f(x)\\-3&-14\\0&-5\\1&-2\\5&10\end{array}`

So, the range is

`\{-14,-5,-2,10\}`

Answer 2

{-14,-5,-2,10}

Explanation:

The given function is

`f(x)=3x-5`

We need to find the function of the given domain.

The given domain of the function is {-3,0,1,5}.

Substitute x=-3 in the given function.

`f(-3)=3(-3)-5\Rightarrow -9-5=-14`

Substitute x=0 in the given function.

`f(0)=3(0)-5\Rightarrow 0-5=-5`

Substitute x=1 in the given function.

`f(1)=3(1)-5\Rightarrow 3-5=-2`

Substitute x=5 in the given function.

`f(5)=3(5)-5\Rightarrow 15-5=10`

Therefore, the range of the function for given domain is {-14,-5,-2,10}.