Answer: Option B
[tex]\text{Range:}(-\infty,0)\cup\{-7\}[/tex]
Explanation:
Given the piecewise function:
[tex]f(x)=\mleft\{\begin{array}{r}-7x\text{ if }x\leq0 \\ -7\text{ if }x>0\end{array}\mright.[/tex]
From the graph of the function below:
The range is the set of all the values of f(x) that satisfies the function.
B. The range has at least one isolated value. It can be described as the union of the interval(s) (-∞,0) and the set {-7}.
[tex]\text{Range:}(-\infty,0)\cup\{-7\}[/tex]
