Question

instructions
use the graph to answer the questions.
classify graphs
6 multiple choice 1 point
which is not a way to represent the range of this graph?
r = -1 to 5)
r = {-1, 0, 1, 2, 3, 4, 5}
r = -1, 5
r: -1 ≤ y ≤ 5

Explanation:

Step1: Understand Range of a Graph

The range of a graph (for a function or relation) is the set of all possible output values (y - values). From the graph, we can see that the vertical extent is from \( y=- 1 \) (inclusive, since there is a closed dot) to \( y = 5 \) (inclusive, closed dot). So the range is all real numbers between - 1 and 5, including - 1 and 5.

Step2: Analyze Each Option

• Option 1: \( R=[-1\text{ to }5] \) - This represents the range as all values from - 1 to 5, which is correct.
• Option 2: \( R=\{-1,0,1,2,3,4,5\} \) - This represents the range as a set of discrete integers. But the graph (a line segment) has a continuous range (all real numbers between - 1 and 5), not just integers. So this is incorrect.
• Option 3: \( R = [-1,5] \) - In interval notation, \([-1,5]\) means all real numbers from - 1 to 5, including both endpoints. This is correct.
• Option 4: \( R:-1\leq y\leq5 \) - This is inequality notation for the range, meaning y is between - 1 and 5 (inclusive). This is correct.

Answer:

\( R=\{-1,0,1,2,3,4,5\} \)