13 a Find gh ga for the function in 12 a above b Give the in

1.3 a) Find g(h ga for the function in 1.2 a. above. b) Give the intervals where the graphed function is increasing and decreasing. Also give any relative maximum or relative minimum points. c) Evaluate the function below at x 3,x 1,x 7, and x 0 2x-3 x 2 2 x 4 f(x) 5 t x, 4 X

Solution

1.3 c) f(x) = 2x -3 ; x < 2

= -x^2/2 ; 2 <= x < 4

= ( 5 +x) ; x > = 4

function at x =3 : for x =3 lies in the interval 2 <=x < 4 ; f(x) = -x^2/2

So, f(3) = -3^2/2 = -9/2

function x= -1 ; for x =-1 lies in the interval x < 2 ; f(x) = 2x -3

f( -1) = 2(-1) -3 = -5

function at x =7 ; for x =7 lies in the interval x>=4 ; f(x) = 5+x

f(7) = 5 +7 = 1 2

function at x =0 ; x=0 lies in the interval x<2 ; f(x) = 2x -3

So, f(0) 2*0 -3 = -3