Question

Let f: ℝ → ℝ be defined by
$f(x)=\frac{(x^2+1)^2}{x^4+x^2+1}$ for x ∈ $\R$.
Then, which one of the following is TRUE ?

• A. f has exactly two points of local maxima and exactly three points of local minima
• B. f has exactly three points of local maxima and exactly two points of local minima
• C. f has exactly one point of local maximum and exactly two points of local minima
• D. f has exactly two points of local maxima and exactly one point of local minimum

Answer 1

Answer: (B)

f has exactly three points of local maxima and exactly two points of local minima

Answer 2

The correct option is (B) : f has exactly three points of local maxima and exactly two points of local minima.