Question

D for the function f(x) = -X2 +0X-2 al find exact intercepts b) find the exact maximum c) graph and mark maximum and intercep 2) use the graph to find a) The Domain b) The intervals of increase c) The intervals of decrease d) What is the local minimum e what is the local maximum f) range 1-4,2 10,3) (4,2) (2, 04

Answer 1

solution Guen that = -12 +40-2 for an undercept Put y = f(x) = 0 Os ant 40-2 a dat2 = 0 Here a=1, b = -4, C = 2 az -b £ / 62 - Tac 2a 2 -(-4) IV (-4)_ 4X Ix2 2x1 - 4 I 16-8 2 20 4118 . 2 a= 4+252 2 a = 232 a. untecept logy) = (2+52,0) (ay) = (2-2, 0) for yr untereft Put a=0 fw-y = -(0)2 + 4X0-2

y cuntercept (ay) = 10,-2) For maximum - Differentiating égh f(a) – 2x tt Put fin 20 , war.t'a', we get -Ent q=0 2015-4 .240. Again Differemding werd 1, we get I lay - - 2 "i f (n) is negative then flad is maximum at no 2 A Maximum valul ou -(22.44X2-2 - -418-2 Entopt Intercept no untercept (ny) = (2+2, o) (ny) = (2-2, 0) undercept (x,y) = (0, 2) y maximum value = (1 at 2-2

Graph - natation maximum y thiestept B SAL a-intecept Gluen that 1 -2 m it 1 2 3 4 Domain - [[-4,49 Interval of uncease - (-2,0) 4 12,4)

1 Interval decrease lat,-2) & 10,20 Local minimum - 1420 Local maximum