It seems you've uploaded an image. I'll take a look at it and extract the relevant information for you. Please hold on for a moment. PIL import Image

Open and display the uploaded image to analyze its content

img_path = '/mnt/data/1733503877099aw0wmgnf.jpg' img = Image.open(img_path) img.show()It looks like I was able to access the image, but I need to analyze its content further to understand the mathematical details. Let me extract and analyze the information from the image for you. pytesseract

Extract text from the image using OCR (Optical Character Recognition)

text = pytesseract.image_to_string(img) textThe image contains a question asking which set of points does not represent a function. Here are the options:

A. $(1, 2), (2, 2), (3, 2), (4, 2), (5, 2)$

B. $(1, -1), (2, 2), (3, -3), (4, 4), (5, -5)$

C. $(-2, 2), (-1, 1), (0, 0), (1, -1), (2, -2)$

D. $(1, 2), (1, 3), (1, 4), (1, 5), (1, 6)$

To determine which set of points does not represent a function, recall that a relation is a function if every input (x-value) has exactly one output (y-value). So, let's evaluate each set:

• Option A: All x-values are distinct, so this set is a function.
• Option B: All x-values are distinct, so this set is a function.
• Option C: All x-values are distinct, so this set is a function.
• Option D: The x-value "1" repeats multiple times with different y-values. This violates the definition of a function, as one input (1) corresponds to multiple outputs (2, 3, 4, 5, and 6).

Thus, Option D does not represent a function.

Would you like further details or have any questions about this?

Here are some related questions to consider:

1. How do we graphically represent a function?
2. What is the vertical line test, and how does it help identify functions?
3. What is the difference between a function and a relation?
4. Can a set of points represent more than one function?
5. How do we determine if a set of points is a one-to-one function?

Tip: When determining whether a set of points represents a function, always check if any x-value repeats with different y-values. This ensures the rule of one input having exactly one output.