AP Calculus BC Worksheet 1.4 Verify that the Intermediate Value Theorem applies to the indicated interval and find the value of "c" guaranteed by the theorem: 24) f(x) = x2 + x - 1, [0, 5], f(c) = 11 25) f ( x ) = - X ' + X x - 1 [2, 5], f(c) = 7 26) Sketch the graph of any function f(x) such that lim f(x) = 1 and lim f(x) = 0. Is the function continuous at x = 3? Explain: X - 3* X - 3 - 27) If the functions f(x) and g(x) are continuous for all real values of x, is f(x) + 9(x) always continuous for all real x? Is f(x) / g(x) always continuous for all real x? If either is not continuous, give an example to verify your conclusion: TRUE or FALSE? 28). If lim f(x) = L and f(c) = L, then f is continuous at c: X - C 29) If f(x) = g(x) for x + c and f(c) + g(c), then either f or g is not continuous at c