Apolynomial function has a root of -7 with multiplicity 2, a root of -1 with multiplicity 1 , a root of 2 with multiplicity 4, and a root of 4 with a multiplicity 1. if the function has a positive leading coefficient and is even in degree, which statement about the graph is true?
a) the graph of the function is positive on (2,4)
b) the graph of the function is negative on 4,infinity)
c) the graph of the function is positive on (-infinity,-7)
d)the graph of the function is negative on (-7,-1)

What is the effect on the graph of the function f(x) = x2 when f(x) is changed to f(x) − 4?

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 ?

Crickets can jump with a vertical velocity of up to 14 ft/s. which equation models the height of such a jump, in feet, after t seconds? h(t) = –16t2 + v0t + h0 h(t) = –16t2 + v0t + 14 h(t) = –16t2 + 14t h(t) = –16t2 + 14t + 14 what is the maximum height the cricket reaches? round to the nearest thousandth. h = feet