Question

Are there values of c and m that make
{ cx^2 if x <1
h(x) = { 4 if x =1
{-x^2 + mx if x >1
continuous at x +1? Find c and m if they exist, or explain why they do not exists

Answer 1

this is not as hard as it looks
put \(x=1\) in the first two expressions and solve
i.e. solve
\[c\times 1^2=4\] which pretty clearly makes \(c=4\)

Answer 2

typo for the second one
i meant solve \[-1^2+m\times 1=4\]

Answer 3

But i thought they were asking at x+1?

Answer 4

@@satellite73 Is it different at x +1 or at x?
On my paper here it is "at x +1 "
Does the question have error or somethin?

Answer 5

Looks like a typo. The "+" symbol and "=" symbol are on the same key and they must have pressed the shift key by mistake.
"continuous at x = 1" makes sense here but "continuous at x +1" does not.