Problem 2: Continuity

2011-2012 Let f(x) be the function defined below: Determine whether f(x) is continuous at x = 0 and explain your answer. Note: You may use a graphing calculator to examine the graph of f(x). Solution: If f(x) if continuous at x = 0, its left- and right-hand limits exist at x = 0, and they … Continue reading "Problem 2: Continuity"

Problem 1: Limits

2011-2012 Describe or draw a function, f(x), with the following characteristics: f(x) has domain (–∞,8) f(x) has range (–∞,9) f(4) = 0; f(5) = 0; f(7) = 0 The limit, as x approaches –∞, of f(x) equals 9 The limit, as x approaches 8 from the left, of f(x) equals –∞ f(–1) = f(–3); f(–1) … Continue reading "Problem 1: Limits"