Ask a New Question
Menu

A graph is shown on the coordinate plane.The x-axis goes from negative 6 to 6 and the y-axis goes from negative 2 to 10. The function starts at closed point left-parenthesis negative 3 comma 0 right-parenthesis and is connected by a line segment to closed point left-parenthesis 0 comma 3 right-parenthesis which is connected by a line segment to closed point left-parenthesis 2 comma 7 right-parenthesis which is connected by a line segment to open point left-parenthesis 5 comma 8 right-parenthesis.

Question
Use the graph of the function to answer the question.
Identify the range of the graphed function.
(1 point)
Responses

left brace y vertical bar 0 less than y less than or equals 8 right brace
Image with alt text: left brace y vertical bar 0 less than y less than or equals 8 right brace

left brace y vertical bar 0 less than or equals y less than 8 right brace
Image with alt text: left brace y vertical bar 0 less than or equals y less than 8 right brace

left brace y vertical bar negative 3 less than or equals y less than or equals 5 right brace
Image with alt text: left brace y vertical bar negative 3 less than or equals y less than or equals 5 right brace

left brace y vertical bar negative 3 less than or equals y less than 5 right brace

1 answer

To identify the range of the graphed function based on the description provided:

  1. The function starts at the point \((-3, 0)\), which indicates that the minimum value of \(y\) is \(0\) (closed point, so \(0\) is included).
  2. The function then moves up to the point \((0, 3)\), where \(y\) takes on values from \(0\) to \(3\) (inclusive).
  3. Next, it connects to the point \((2, 7)\) where \(y\) takes on values from \(3\) to \(7\) (inclusive).
  4. Finally, the function terminates at the open point \((5, 8)\) indicating that it approaches \(8\) but does not include \(8\).

Based on this analysis, the range of the function can be written as: \[ { y \mid 0 \leq y < 8 } \]

So the correct response is: left brace y vertical bar 0 less than or equals y less than 8 right brace.