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Question

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

Answer 1

To determine the range of the graphed function, we need to identify the minimum and maximum values of \( y \) that occur within the function.

From the description provided:

• The function starts at the point \((-3, 0)\) which indicates that the minimum \( y \)-value is \( 0 \).
• The function goes up to the point \((5, 8)\) but has an open endpoint, which means the maximum \( y \)-value can be \( 8 \), but it does not actually take the value of \( 8 \).

Therefore, the range of the function is defined by all \( y \)-values starting from \( 0 \) (inclusive) up to \( 8 \) (exclusive).

Thus, the correct expression for the range is:

\[ { y \mid 0 \leq y < 8 } \]

So the correct response would be:

left brace y vertical bar 0 less than or equals y less than 8 right brace