PIL import Image import pytesseract

Open the uploaded image

image_path = "/mnt/data/1736911112197f8gp23ta.jpg" image = Image.open(image_path)

Use OCR to extract text

extracted_text = pytesseract.image_to_string(image) extracted_textThe extracted function from the image is:

$y = \left(\frac{1}{2}\right)^{x+2} - 9$

Let's calculate $y$ for $x = 4$, $x = 5$, and $x = 6$. Define the function def calculate_y(x): return (1 / 2) ** (x + 2) - 9

Calculate y for x = 4, 5, and 6

results = {x: calculate_y(x) for x in [4, 5, 6]} resultsThe calculated values for the function $y = \left(\frac{1}{2}\right)^{x+2} - 9$ are as follows:

• For $x = 4$: $y = -8.984375$
• For $x = 5$: $y = -8.9921875$
• For $x = 6$: $y = -8.99609375$

Would you like a detailed explanation of how these calculations were performed, or do you have further questions?

Here are 5 related questions to explore further:

1. How does the function behave as $x \to \infty$?
2. What is the significance of the term $-9$ in the function?
3. How can this function be graphed?
4. How does the base $\frac{1}{2}$ affect the exponential decay?
5. How would the values change if the base were $2$ instead of $\frac{1}{2}$?

Tip: Exponential functions with bases less than $1$ represent decay, while those with bases greater than $1$ represent growth.