Question

find a value for "a" so f(x) is continuous
f(x) = x^2 + x + a , x less than 1
x^3 , x greater than or equal to 1

Answer 1

much easier than it seems
replace \(x\) by 1 in both expressions, set them equal

Answer 2

you can just about do it in your head
\[1+1+a=1\]

Answer 3

wow, I didn't realize how simple that was. Thanks so much