Algebra
# Exponential Functions

Which of the following could be the graph of \( y = - \frac{1}{a^x}, \) if \( a>1 ? \)

The graph of \(y = 5^{-x + 3} + 7^{-x - 1} + 6\) never goes below the line \(y = k.\)

What is the largest possible value of \(k\) such that the statement above is true?

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