Question

Near a function's verticle asymptotes its value become very _________ positive or negative numbers

Answer 1

Near a function's vertical asymptotes, its value becomes very close to positive or negative infinity.

Step-by-step explanation:

Near a function's vertical asymptotes, its value becomes very close to positive or negative infinity. This is because as x approaches the value of the vertical asymptote, the function approaches infinity in the positive or negative direction.

For example, consider the function y = 1/x. As x approaches 0 from the right side, the function becomes very large and positive. As x approaches 0 from the left side, the function becomes very large and negative. Therefore, the value of the function near the vertical asymptote approaches positive or negative infinity.

Answer 2

Near a function's verticle asymptotes its value become very (large) positive or negative numbers.