Question

End behavior:
a. y → +∞o
b. y → -∞
as x → +∞

Answer 1

The end behavior of the function y = 1/x is y approaches 0 as x approaches positive infinity.

Step-by-step explanation:

The end behavior of a function describes the values of the function as x approaches positive or negative infinity. In this case, the possible end behaviors are:

a. As x → +∞, y → +∞

b. As x → +∞, y → -∞

The end behavior can be determined by examining the leading term of the function. Let's consider the function f(x) = 1/x. As x becomes larger and larger (approaching positive infinity), the value of 1/x becomes smaller and smaller. This indicates that as x → +∞, y → 0. However, since the function f(x) = 1/x is not defined at x = 0, we can say that as x → +∞, y does not approach any specific value, but it becomes close to 0.