Question 1: Use the graph of f (x) to answer the following: Domain: Absolute max: lim f (x) = Absolute min: x-2+ lim f (x) = Local max: x- -2 Local min: lim f (x) = X-0 -3 Interval(s) where f (x) increasing f (3) = f' (3) = Average rate of change over [-5, -3] Interval(s) where f (x) decreasingQuestion 2: 1 g(x) = V4 - x2 a. find the domain. b. find the interval(s) where the function is increasing and the interval(s) where it is decreasing. c. find the relative maxima and relative minima, if any, of the function. d. Use GeoGebra to plot g (x). (Take a screenshot of your graph and label its critical points).Question 3: Choose the correct answer and explain your choice in detail. 2 Let x(t) = t5 give the distance of a moving particle from its starting point as a function of time t. For what value of t is the instantaneous velocity of the particle equal to its average velocity over the interval [0,8] '2' a (A) E (B) 2: (C) 3 (D) % (E) % Question 4: The price P of a certain computer system decreases immediately after its introduction and then increases. If the price P is estimated by the formula P = 170t2 - 1700 t + 6400 , where t is the time in months from its introduction, find the time until the minimum price is reached