Question

Can you please help me with theses 2 questions?

1). Find three arithmetic means between 11 and 31. (Enter your answers as a comma-separated list.)

2). Evaluate the piecewise-defined function.

f(x) =

3 if x < 0 3 − x     if 0 ≤ x < 3 x + 3     if x ≥ 3

(a) f(4/3)=

(b) f(3)=

Answer 1

0 Three arithmetic means between 11 and 31. 11,2,,X2,83, 31 ä, = first term = 11 95=3) an = 9, + (n-1)d 95= 917(5-1)d 3) = 11+14) 31-1] = 40 20 = 4d a = 2 = 5 d = Common difference ES Hi=aitd = 11+5= 16 22 = Optd = 16+5=21 23=22tda 21+5=26 11, 16, 21, 26, 31

fox) 3 {: if xco 3-2 if 054<3 if xz3 xt3 @ f() where you the value of a x = 42 4 satirofying the condution Osacz so function is f(n)= 3-7 = 3-4 - YouTube f (42) = 3/5 2-3 b) f(3) Satisfying the conclition so function is f(n)=x+3 2 23 = 3+3 = 6 f(3) =86