1 hour ON7TPOINT aph of f(x) is given below. Select all of the true statements about the continuity of f(x) at a = 0. 7. 60 5 4 2 -7-6-5-4-3-2-1 12 3 4 5 6 7 -5 -7. I that apply: is not continuous at a = 0 because f(0) is not defined. ) is not continuous at x = 0 because lim f(x) does not exist.

The graph of f(x) is given below. Select each true statement about the continuity of f (x) at x = -1. Select all that apply: -7-6-5-4-31 N 10 f(x) is continuous at x = -1. S A W HN -7 ņ T لنا + ú 60 f(x) is not continuous at x = -1 because it is not defined at x = -1. 1 2 3 4 5 6 7 f(x) is not continuous at x = -1 because lim f(x) does not exist. X--1 f(x) is not continuous at x = -1 because lim f(x) + f(-1).

Sketch the given functions on a graph then answer the following questions: f(x)= 4-x for x < -2 f(x)= 2x+3 for -2 < x < 3 f(x)= -x for x > 3   1.) is this function continuous where x=3? Explain why or why not using the definition of continuity. (3 requirements that must be met) 2.) Where is the function right side continuous? 3.) Where is the function left side continuous?

2. Find the values of a and b that make of continuous at all points in its domain. Make explicit reference to the definition of work. Continuity at a point in your Explain all reaisoning f(x) = (bcos (TX) -2 3x² - ax + b 2x - 4a X ≤ 1 1