Determine whether the statement is true or false.
-$$\text { The function } f ( x ) = \frac { 2 - x } { x ^ { 2 } } \text { has an oblique asymptote. }$$

Question

Quizplus · Accepted Answer

The function $f(x) = \frac{2-x}{x^2}$ does not have an oblique asymptote because the degree of the polynomial in the numerator is less than the degree of the polynomial in the denominator, which means the function approaches 0 as $x$ approaches infinity or negative infinity.

Determine Whether the Statement Is True or False The function f(x)=2−xx2 has an oblique asymptote. \text { The function } f ( x ) = \frac { 2 - x } { x ^ { 2 } } \text { has an oblique asymptote. } The function f(x)=x22−x​ has an oblique asymptote.

Determine Whether the Statement Is True or False $\text { The function } f ( x ) = \frac { 2 - x } { x ^ { 2 } } \text { has an oblique asymptote. }$