C-2.For which values of x, the function f(x) = x2 – 2x is decreasing -(3) xlt 1(1)(2) xgt2gt 1(4) Xlt2Funciton f(x) = x isinain in mand increasing in (-00,

For Which value of x, the function f(x)=x^2-2x is decreasing? a) xgt1 b) xlt2 c) xlt1 d) xgt2

Consider the function f(x)={2x+3,xlt=1 -x^2+6,x >1

For the function f(x)={{:(x+2", "xgt0),(x-2", "xlt0):}

For what value of k is the function f(x)={{:(2x+(1)/(4),xlt0),(k,x=0),((x+(1)/(2))^(2),xgt0):} continuous?

Let f''(x)gt0 and phi(x)=f(x)+f(2-x),x in(0,2) be a function then the function phi(x) is (A) increasing in (0,1) and decreasing (1,2) (B) decreasing in (0, 1) and increasing (1,2) (C) increasing in (0, 2) (D) decreasing in (0,2)

Consider the function f(x)={2x+3,xlt=1-x^2+6,x >1

Consider the function f(x)={2x+3,xlt=1-x^2+6,x >1

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

Find the values of a and b , if the function f defined by f(x)={x^2+3x+a ; if xlt=1, b x+2 ; if x >1 is differentiable at x=1