Thread: Find the value of the Constant

find the value of the value of the constant c such that the given function is continuous for all x



f(x) ={c^2-x^2, if x<0
........{2(x-c)^2, it x>=0

Roxanne, you seem to be posting just a list of questions.
Do you just expect that someone here will hand you a complete solution.
How about showing effort on you part? You are the learner in this process.

Originally Posted by Roxanne

find the value of the value of the constant c such that the given function is continuous for all x



f(x) ={c^2-x^2, if x<0
........{2(x-c)^2, it x>=0

A function f(x) is continuous at x=a, if,

Left hand limit = right hand limit = f(a)



Now, try to solve by yourself.