Answer:
Option (D)
Step-by-step explanation:
The given graph represents a rational function having,
1). Vertical asymptote → x = 2
2). Horizontal asymptote → y = 0
Parent function representing the rational function will be in the form of,
F(x) = [tex]\frac{1}{x^{2} }[/tex]
Since, vertical asymptote of the function is x = 2, denominator of the function will be in the form of (x - 2)².
Since, horizontal asymptote of the function is y = 0, highest exponent term in the numerator will be 0.
Therefore, numerator of the fraction will be x⁰.
The rational function given in the graph will be,
F(x) = [tex]\frac{x^{0}}{(x-2)^2}[/tex]
F(x) = [tex]\frac{1}{(x-2)^2}[/tex]
Option (D) will be the answer.
