Home / IBDP Maths AA: Topic: AHL 2.13: Rational functions: IB style Questions HL Paper 2

IBDP Maths AA: Topic: AHL 2.13: Rational functions: IB style Questions HL Paper 2

Question

Consider the graph of the function f (x) = \(x+\frac{12}{x^2}\) , x 0

     

a.      Write down

    1. the zero of f (x) ;

    2. the coordinates of the local minimum point. [4]

  1.  Consider the function g (x) = 3 x .
  2. b.      Solve f (x) = g (x) . [2]
▶️Answer/Explanation

Ans: 

(a)

(i) o = x+ \(\frac{12}{x^{2}}\)

x= -2.29 (-2.28942…)

(ii)(2.88,4.33)((2.88449..,4.3264=74))

(b)

3-x= x+ \(\frac{12}{x^{2}}\)

\(x=-1.43(-1.4328..)\)

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