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

Answer:

  y = 2x +1

Step-by-step explanation:

Performing the division, you get ...

  $f(x)=\dfrac{2x^2-5x+2}{x-3}=2x+1+\dfrac{5}{x-3}$

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

  y = 2x +1