Question

last part is -1 is less than or equal to x is less than or equal to 2.

3. For the curved function graphed below a) Determine the instantaneous rate of change at x= -1. 1 2 b) Determine the average rate of change on the interval -1 <S 2

Answer 1

We see the ame y3 is tangent to the Slo pe of y- 3 Curve at X = -I, is o d f dx So slope af cuve at x--, dy d uRere ye for) io the aquahom of (Aay) at x-- 0. Curve nstamtanuous rete ot chomge Thus 2 (b) Forthe auerae ate of chomge, Usmg the formala (b)-da average nmate of chomge Ca6 Oves lakmg a=l b= 2, we hare b-a f-1)=3, C2) - 0 as at x-1, the cuve touches y 3, at x-2, it 0 bxo 0-3 -1 Average rate of chomge overr , y 3 19410CO Ier 2--1) cop