How do you graph #f(x)=3/x# using holes, vertical and horizontal asymptotes, x and y intercepts?
See graph
no holes.
Set the denominator=0 to solve fo asymptotes:
graph{3/x [10, 10, 5, 5]}
By signing up, you agree to our Terms of Service and Privacy Policy
To graph the function f(x) = 3/x, we can follow these steps:

Holes: The function has no holes.

Vertical Asymptotes: Set the denominator equal to zero and solve for x. In this case, x cannot be zero since division by zero is undefined. Therefore, there is a vertical asymptote at x = 0.

Horizontal Asymptotes: Determine the behavior of the function as x approaches positive or negative infinity. As x approaches positive infinity, the function approaches 0. As x approaches negative infinity, the function also approaches 0. Hence, there is a horizontal asymptote at y = 0.

xintercept: To find the xintercept, set f(x) equal to zero and solve for x. In this case, 3/x = 0. Since the numerator is never zero, there are no xintercepts.

yintercept: To find the yintercept, set x equal to zero and evaluate f(x). In this case, f(0) = 3/0, which is undefined. Therefore, there is no yintercept.
By considering these aspects, you can accurately graph the function f(x) = 3/x.
By signing up, you agree to our Terms of Service and Privacy Policy
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
 98% accuracy study help
 Covers math, physics, chemistry, biology, and more
 Stepbystep, indepth guides
 Readily available 24/7