What can you say about the end behavior of the function f (x) = log10 (5x-1)

The given function is

f (x) = log₁₀ (5x-1)

As x - > - ∞, the argument of the log function becomes a large negative number.

Because the log of a negative number is undefined, f (x) is undefined as x - > - ∞.

As x - > + ∞, the argument of the log function becomes a large positive number.

Therefore f (x) - > + ∞ as x - > + ∞.

Answer:

As x - > - ∞, f (x) is undefined.

As x-> + ∞, f (x) - > + ∞.