Respuesta :

You need to evaluate the function at the given points:

[tex]\begin{array}{c|c}x&f(x)\\-3&-14\\0&-5\\1&-2\\5&10\end{array}[/tex]

So, the range is

[tex]\{-14,-5,-2,10\}[/tex]

Answer:

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

Step-by-step explanation:

The given function is

[tex]f(x)=3x-5[/tex]

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.

[tex]f(-3)=3(-3)-5\Rightarrow -9-5=-14[/tex]

Substitute x=0 in the given function.

[tex]f(0)=3(0)-5\Rightarrow 0-5=-5[/tex]

Substitute x=1 in the given function.

[tex]f(1)=3(1)-5\Rightarrow 3-5=-2[/tex]

Substitute x=5 in the given function.

[tex]f(5)=3(5)-5\Rightarrow 15-5=10[/tex]

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