Question

Consider the function f(x) =

- 4x2xs-1
-3-*-1, *> -1
Which statement explains the continuity of the function at x = -1?
Because lim f(x) = 4 and f(-1) = 4, it follows that lim f(x) = f(-1). Therefore, the function is continuous at x
1.
*--1
*--1
O Because lim f(x) = -4 and f(-1) = -4, it follows that lim f(x)=f(-1). Therefore, the function is continuous at
-1.
*--
X-1
--
O Because lim f(x) = 4 and f(-1) = -4, it follows that lim f(x) f(-1). Therefore, the function is not continuous
*--1
= -1.
O Because lim f(x) = -4 and f(-1) = 4, it follows that lim f(x) f(-1). Therefore, the function is not continuous a
= -1.
--
--1

Answer 1

It's B

Explanation:

B) Because Limit as x approaches negative 1 f(x) = –4 and f(–1) = –4, it follows that Limit as x approaches negative 1 f(x)= f(–1). Therefore, the function is continuous at x = –1