Question

Find the range of the function for the given domain.

Answer 1

Answer:

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

Step-by-step 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}.

Answer 2

You need to evaluate the function at the given points:

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

So, the range is

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