`Iff(x)={3x^2+12 x-1,-1lt=xlt=2 37-x ,2

If f(x)={{:(3x^(2)+12x-1",",-1lexle2),(37-x",",2ltxle3):} , Then

If f(x)={(x^2)/2 , if 0lt=xlt=1 2x^2-3x+3/2 , if 1

Evaluate: int_(-1)^1f(x)dx ,w h e r ef(x)={1-2x ,xlt=0 1+2x ,xgeq0 int_(-1)^4f(x)dx ,w h e r ef(x)={2x+8,1lt=xlt=2 6x ,2lt=xlt=4

If f(x) = {{:( 3x ^(2) + 12 x - 1",", - 1 le x le 2), (37- x",", 2 lt x le 3):}, then

The relation f is defined by f(x)={x^2,""0lt=xlt=3 3x ,""""3lt=xlt=10 The relating g is defined by g(x)={x^2,""0lt=xlt=3 3x ,""""2lt=xlt=10 Show that f is a function and g is not a function.

Find the greatest and least values of function f(x)={-x , -1lt=x<0 2-(x-1)^2, 0lt=xlt=2

Discuss the extremum of f(x)={|x^2-2|,-1lt=x