Let the function `f(x` be defined as follows: `f(x)={x^3+x^2-10 x ,-1lt=x<0cosx ,0lt=x

Let the function f(x) be defined as follows: f(x)={x^(3)+x^(2)-10x,-1lexle0 cosx,0lexlepi//2 1+sin x, pi//2 lexlepi

Let the function f be defined by f(x)={(3x0lexle1),(-3x+51ltxle2):} , then:

Let the function f: R rarr R be defined as f(x)=min .(x+2,4-2 x, 1+4 x ). The maximum vatue of f(x) is equal to

Let the function f be defined f(x)={:{(3x,0lexle1),(-3x+5,1ltxle2):} then............

A function f (-3 , 7) to R is defined as follows f (x) = {{:( 4 x^(2) + 1 , ,-3 le x lt 2) , (3x - 2 , ,2 le x le 4) , (2x + 3 , ,4 lt x lt 7):}} Find (i) 5 f(1) - 3 f(-2) (ii) 3f (-3) + 4 f (iii) (7 f (3) - f (-1))/(2 f (6) - f(1))

A function f is defined as follows : f(x) = {{:(0," for ",x lt 0),(x ," for ",0 le x lt 1),(-x^(2)+4x-2," for ",1lexlt3),(4-x ," for ",xge3):} Is the function continuous ?

The function f:R->[-1/2,1/2] defined as f(x)=x/(1+x^2) is