Let g he a centinueus functien en the interval [1.1' 1], and differentiable en (1, 1) If g[1) = 2 and 9(1) 2 4. which of the fellewing statements could be false? 0 There exists 6 E [1, 1) such that 9(6) 2 {1 Q There exists 6 E [1, 1) such that 9'03} 2 l}. Q There exists 6 E [1, 1) such that 9(6) 2 3. Q There exists 6 E [1, 1) such that 59(6) 2 3. 0 There exists 6 E [1.5| 1] such that 9(6) :3: 9(3) for all it E [1.5| 1]. Let f(.1:) = %$3 32 + 53: + 3 be dened on the entire real llne. Which of the following statements is true? 0 f has exactly one critlcal point located at :1! = 1. O f has one local minimum at a: = 1 and another local minimum elsewhere. 0 f has one local minimum at I = 1 and a local maximum elsewhere. 0 f has one local maximum at I = 1 and another local maximum elsewhere. 0 f has one local maximum at I = 1 and a local mlnimum elsewhere