Graph the function f(x) = 6 - log(7) x. Determine the domain, range, and vertical asymptote.

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The function f(x) = 6 - log(7) x, where log(7)x is the logarithm of x to base 7.

The logarithm for any base is only defined for positive numbers. This gives x > 0.

The domain of f(x) is (0, inf.)

As log(7) x can take on any value in R, 6 - log(7) x can also take on any value in R. The range of the function is R.

As x tends to 0, y tends to infinity. The vertical asymptote is at x = 0.

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