The function $f$ is defined as follows for the domain given.
\[
f(x)=2 x-1, \quad \text { domain }=\{-3,-1,2,4\}
\]
Write the range of $f$ using set notation. Then graph $f$.

Step 1 ：The function $f$ is defined as follows for the domain given: $f(x)=2x-1$, with domain = $\{-3,-1,2,4\}$

Step 2 ：The range of a function is the set of all possible output values (y-values) which we get after substituting all the elements of a domain.

Step 3 ：In this case, the domain is given as $\{-3,-1,2,4\}$. We can find the range by substituting these values in the function $f(x)=2x-1$.

Step 4 ：Substituting -3 into the function, we get $f(-3)=2(-3)-1=-7$

Step 5 ：Substituting -1 into the function, we get $f(-1)=2(-1)-1=-3$

Step 6 ：Substituting 2 into the function, we get $f(2)=2(2)-1=3$

Step 7 ：Substituting 4 into the function, we get $f(4)=2(4)-1=7$

Step 8 ：So, the range of the function $f(x)=2x-1$ for the domain $\{-3,-1,2,4\}$ is $\{-7,-3,3,7\}$

Step 9 ：\(\boxed{\text{Final Answer: The range of the function } f(x)=2x-1 \text{ for the domain } \{-3,-1,2,4\} \text{ is } \{-7,-3,3,7\}}\)