the function is y = 2^(x-6)
find y intercept

To find the y-intercept of the function \( y = 2^{x-6} \), you need to determine the value of \( y \) when \( x = 0 \). The y-intercept occurs when \( x = 0 \).

Substitute \( x = 0 \) into the equation:

\[
y = 2^{(0 - 6)} = 2^{-6}
\]

Now, calculate \( 2^{-6} \):

\[
2^{-6} = \frac{1}{2^6} = \frac{1}{64}
\]

So, the y-intercept is \( \left(0, \frac{1}{64}\right) \).

If you have any questions or want more details, feel free to ask! Here are some related questions:

1. What is the x-intercept of the function \( y = 2^{x-6} \)?
2. How does the graph of \( y = 2^{x-6} \) compare to the graph of \( y = 2^x \)?
3. What is the domain and range of the function \( y = 2^{x-6} \)?
4. How would you solve for \( x \) when \( y = 1 \) in the equation \( y = 2^{x-6} \)?
5. What happens to the function \( y = 2^{x-6} \) as \( x \) approaches infinity?

**Tip:** The y-intercept can be found by setting \( x = 0 \) in any function.

the function is y = 2^(x-6) find y intercept

Discover how to find the y-intercept of the exponential function y = 2^(x-6). This solution explains the concept of intercepts in coordinate geometry, applying properties of exponential functions. Suitable for students in Grades 9-11.

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