Home
Class 12
MATHS
f(x)={[x^(3)-3,," if "x<=2],[x^(2)+1,," ...

f(x)={[x^(3)-3,," if "x<=2],[x^(2)+1,," if "x>2]

Promotional Banner

Similar Questions

Explore conceptually related problems

Show that the function f given by f(x)=x^(3)-3x^(2)+4x,x in R

What is the value of k for which the following function f(x) is continuous for all x? f(x)={{:((x^(3)-3x+2)/((x-1)^(2)),"for "xne1),(k,"for "x=1):}

find the points of discontinuity of the function f defined by f(x) = {(x^3 - 3, x le 2),(x^2 + 1, x > 2):}

Verify Rolle's theorem for the function f(x)=x^(3)-3x^(2)+2x in the interval [0,2] .

Verify Rolle's theorem for the function f(x)=x^(3)-3x^(2)+2x in the interval [0,2] .

Verify Rolle's theorem for the function f(x)=x^(3)-3x^(2)+2x in the interval [0,2] .

Show that the function f given by f(x)=x^(3)-3x^(2)+4x, x in R is increasing on R.

Number of points of discontinuity of f(x) =[x^(3)+3x^(2)+7x+2], where [.] represents the greatest integer function in [0,1] is ___________.

Show that f(x)=x^(3)-3x^(2)+4x, x in R is strictly increasing on R.