Question

For what value of the constant 'c' is the function 'f' continuous on (-inf,inf)

f(x)= cx^2+2x if x<2
x^3-cx if x greater than or equal to 2

My answer is c= 2/3

can someone check this for me?

Answer 1

replace \(x\) by 2 and set the expressions equal, solve for \(c\)
if that is what you did, it is right

Answer 2

\[4c+4=8-2c\]

Answer 3

```yea looks good

Answer 4

Thanks :)