Question

question 11 Provide an appropriate response. Identify which of the following properties apply to the graph of y= cos x 1. The y-intercept is 1. II. The x-intercepts are of the form nt, where n is an integer III. The function obtains a relative minimum at x = + 2yn, where n is an integer IV. The function is decreasing on the interval 7 37 O I, III, and IV I and IV II and III I and III O

Answer 1

y = cosa y-intersect 2 means nzo AL) SO y = coso So (1) Hence its y-Intersect is 1 This o tatement is also true E rit n-intercept means 420 20 02 COSNO, n= (2n+1) – where na an interger 2 Hence its n-inten se på (20+1) , where ny an intergen statement C is u False do The ) fou uelatve minima = cosa differentiate wat n - dy = -sinn on both side da for maxima and minima -Sinn sinna » Nz na whore n is an ish terger

- dye von Again dyfementation Wort n he countadesin) - dj = - cosx dy o for Odd integer of n day co for even integer ogn -cosn daz dn² To Por Relative minia we consider day yo dat na tj 37, 50- ar n= ((n+1) ar na anata where is a integer Statement I is tarve So III) for is decreasing fun chon dy co dn -sinnto sin nyo and we thow that sinn is posltve in Ist or and quadrant a so ne (on) Hence function & decreasing in (0,2) so the TV statement & false