what are the horizontal asymptotes of the function
which function?
They are what y approaches as x goes to infinity
To determine the horizontal asymptote(s) of a function, consider the highest degree term in the numerator and denominator of the function.
1. If the degree of the numerator is greater than the degree of the denominator, there is no horizontal asymptote.
2. If the degree of the numerator is equal to the degree of the denominator, the horizontal asymptote is the ratio of the leading coefficients of the numerator and denominator.
3. If the degree of the numerator is less than the degree of the denominator by 1, there is a horizontal asymptote at y = 0.
Now, if you provide the function, I can help you find the horizontal asymptotes.
To find the horizontal asymptotes of a function, we need to examine the behavior of the function as x approaches positive infinity and negative infinity.
To determine the horizontal asymptotes, follow these steps:
1. Start by considering the degree (highest power) of the numerator and denominator of the function.
2. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is at y = 0.
3. If the degree of the numerator is equal to the degree of the denominator, there is a horizontal asymptote at the ratio of the leading coefficients.
4. If the degree of the numerator is greater than the degree of the denominator, there is no horizontal asymptote. Instead, there may be oblique asymptotes or vertical asymptotes.
Based on the information you gave, the function is incomplete, so we need the full function to determine the horizontal asymptotes.
Please provide the complete function, and I'll be happy to help you further.