Math Problem Statement

Question content area top left Part 1 Determine the intervals of the domain over which the function is continuous. Question content area bottom left Part 1 Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice. A. The function is continuous on    enter your response here. ​(Type your answer in interval​ notation.) B. The function is not continuous. . . . Question content area right Part 1 -10 -8 -6 -4 -2 2 4 6 8 10 -25 -20 -15 -10 -5 5 10 15 20 25 x y

Solution

To determine the intervals of continuity for a function, we need to observe the behavior of the graph provided. Based on the description, I assume you have a graph of the function and we are to identify where the function is continuous.

Here are the steps to follow:

  1. Check for breaks or gaps in the graph: If there are any points where the graph "jumps" or has a vertical asymptote, the function is not continuous at those points.
  2. Look for holes: If there are points where the graph is missing or undefined, that’s also a discontinuity.
  3. Observe endpoints: If the graph starts or ends at a particular point, make sure there are no breaks at the edges.

To provide the correct answer, I need to see the graph or have more details about the function's behavior. Since you are likely referring to a specific graph (not provided directly in text form), please upload the graph or clarify more about it (e.g., what the function looks like).

Would you like to upload the graph for me to analyze it? Or provide more details about the function?

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Math Problem Analysis

Mathematical Concepts

Continuity of functions
Interval notation
Graph interpretation

Formulas

N/A

Theorems

Intermediate Value Theorem
Continuity at a point

Suitable Grade Level

Grades 10-12