-6x, z <7, I = 7, x > 7. f(x) = 1, 6x, Find the indicated one-sided limits of A and determine the continuity of fA at the indicated point.

Characterize the discontinuity for F(X)

4 - 3 + - Find the limit of f(x) = as x approaches o and as x approaches 9. 9. - 0o. - 2 X

x + 1, f(x) = 0, x² + 1, x>0 Can also be displayed as: x + 1 when x 0 f(x) = [X °] Is f(x) continuous at x = 0? Why or why not? You must show all of your work and reasoning to receive credit. Use the rules of continuity. x < 0 x = 0

Let f(x) = x³ 3x² - 1. - What is the limit as x approaches infinity? Limit is: What is the limit as x approaches negative infinity? Limit is:

Determine the continuity of the function at the given points. forx =-1 flx) = -2, for x *-1 at x = -1 and x = 0 6- 5- 4- 3. -1+ O The function f is continuous at neither x =0 nor x=-1. O The function f is continuous at x =0 but not at x = -1. O The function f is continuous at both x = 0 and x=-1. O The function f is continuous at x = -1 but not at x = 0.