Question

Identify the oblique asymptote of f(x) = quantity 2 x squared minus 5 x plus 2 over quantity x minus 3 .

y = 0
y = 2x + 1
y = 2x − 11
No oblique asymptote

Answer 1

y = 2x +1

Explanation:

Performing the division, you get ...

`f(x)=(2x^2-5x+2)/(x-3)=2x+1+(5)/(x-3)`

As the magnitude of x gets large, the fraction tends to zero and the behavior of the graph matches ...

y = 2x +1