# Thread: What is the relationship between a and b so that f(x) is a continous function?

1. ## What is the relationship between a and b so that f(x) is a continous function?

Given f(x) = 3x - a x (less than and equal to) -2
(x^2) - b x (greater than) -2

2. Originally Posted by k101
Given f(x) = 3x - a x (less than and equal to) -2
(x^2) - b x (greater than) -2
As things stand find these two limits $\displaystyle \lim _{x \to - 2^ - } f(x)\;\& \,\lim _{x \to - 2^ + } f(x)$.
Make them equal.