The table represents f(x), and the graph represents g(x). which statements about the functions are true for the interval [4, 10]? x f(x) 3 1.33 4 1 5 0.8 6 0.66 10 0.4 select all that apply 1- the average rate of change of f(x) is greater than the average rate of change of g(x). 2- the average rate of change of f(x) is less than the average rate of change of g(x). 3- both functions have the same average rate of change. 4- the average rate of change of f(x) is 0.1, and the average rate of change of g(x) is 0.25. 5- the average rate of change of f(x) is -0.1, and the average rate of change of g(x) is -0.25.

Exercise: counting committees 0.0/2.0 puntos (calificable) we start with a pool of n people. a chaired committee consists of k≥1 members, out of whom one member is designated as the chairperson. the expression k(nk) can be interpreted as the number of possible chaired committees with k members. this is because we have (nk) choices for the k members, and once the members are chosen, there are then k choices for the chairperson. thus, c=∑k=1nk(nk) is the total number of possible chaired committees of any size. find the value of c (as a function of n ) by thinking about a different way of forming a chaired committee: first choose the chairperson, then choose the other members of the committee. the answer is of the form c=(α+nβ)2γn+δ. what are the values of α , β , γ , and δ ?