Home
Class 12
MATHS
Draw the graph of the function and discu...

Draw the graph of the function and discuss the continuity and differentiability at x = 1 for, `f(x) = {{:(3^(x)",","when",-1 le x le 1),(4-x",","when",1 lt x lt 4):}`

Text Solution

Verified by Experts

The correct Answer is:
x = 1
Promotional Banner

Similar Questions

Explore conceptually related problems

If f(x) = {|x|-|x-1|}^(2) , draw the graph of f(x) and discuss its continuity and differentiability of f(x)

Let f(x) = |x-1|+|x+1| Discuss the continuity and differentiability of the function.

f(x)= {(2x",","if" x lt 0),(0",","if" 0 le x le 1),(4x",","if" x gt 1):}

Draw the graph of the function f(x) = x - |x - x^(2)|, -1 le x le 1 and discuss the continuity or discontinuity of f in the interval -1 le x le 1

f(x)= {(x^(10)-1",","if" x le 1),(x^(2)",","if" x gt 1):}

f(x) = {(3",","if" 0 le x le 1),(4",","if" 1 lt x lt 3),(5",","if" 3 le x le 10):}

f(x)= {(-2",","if" x le -1),(2x",","if" -1 lt x le 1),(2",","if " x gt 1):}

Examine the continuity of the function f(x)= {((x^(2))/(2)",","if " 0 le x le 1),(2x^(2)-3x + (3)/(2)",","if " 1 lt x le 2):} at x=1

Determine the values of x for which the following functions fails to be continuous or differentiable f(x) = {{:((1-x)",",x lt 1),((1-x)(2-x)",",1 le x le 2),((3-x)",",x gt 2):} justify your answer.