Graphing an integer function and finding its range for a given dom

The function $h$ is defined as follows for the domain given.
\[
h(x)=2 x-1, \quad \text { domain }=\{-3,-1,2,4\}
\]

Write the range of $h$ using set notation. Then graph $h$.
\[
\text { range }=
\]

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

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

Step 3 ：Substitute each value from the domain set $\{-3,-1,2,4\}$ into the function $h(x) = 2x - 1$ and find the corresponding output values.

Step 4 ：The output values are $\{-7, -3, 3, 7\}$.

Step 5 ：These output values constitute the range of the function.

Step 6 ：Plot the function using these domain and range values.

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

Step 8 ：The graph of the function is a set of discrete points corresponding to these domain and range values.