Question

How do you find the horizontal asymptote of a function using a calculator?

a) By evaluating the limit at positive infinity
b) By evaluating the limit at negative infinity
c) By analyzing the behavior of the function at critical points
d) By checking the behavior of the function as x approaches a particular value

Answer 1

To find the horizontal asymptote of a function using a calculator, you need to evaluate the limit of the function as x approaches positive or negative infinity.

Step-by-step explanation:

To find the horizontal asymptote of a function using a calculator, you need to evaluate the limit of the function as x approaches positive or negative infinity. You can do this by plugging in large positive or negative values of x into the function and observing the behavior of the output. If the function approaches a specific value as x gets extremely large or small, then that value is the horizontal asymptote.

For example, if you have the function y = 1/x, you can plug in large positive or negative values of x into the function and observe the output. As x approaches positive infinity, the output approaches 0. Therefore, the horizontal asymptote is y = 0.

• The correct answer is (a) By evaluating the limit at positive infinity.