Question

b. Select the correct choice below and fill in the answer boxes) to complete your choice.A. The range does not have any isolated values. It can be described by __(Type your answer in interval notation.)B. The range has at least one isolated value. It can be described as the union of the interval(s) __ and the set { _}(Type your answer in interval notation. Use a comma to separate answers as needed.)C. The range consists exclusively of one or more isolated values It can be described as {_}(Use a comma to separate answers as needed.)and the set

Answer 1

Answer: Option B

$\text{Range:}(-\infty,0)\cup\{-7\}$

Explanation:

Given the piecewise function:

$f(x)=\mleft\{\begin{array}{r}-7x\text{ if }x\leq0 \\ -7\text{ if }x>0\end{array}\mright.$

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}.

$\text{Range:}(-\infty,0)\cup\{-7\}$