Answer:
Therefore, the function has a vertical asymptote at x = -∞ and x = ∞.
Step-by-step explanation:
The asymptote of a function is a vertical line x = a, where the function approaches infinity (for vertical asymptotes) or approaches a specific value (for horizontal asymptotes) as x approaches a.
To determine the asymptote of the function f(x) = (10)2x + 4, we need to analyze the behavior of the function as x approaches positive and negative infinity.
As x approaches positive and negative infinity, the term (10)2x dominates the function. Since 10 raised to any power will approach infinity as the exponent approaches infinity, the function will also approach infinity as x approaches positive and negative infinity.
