Web7 de set. de 2016 · No it is not. Explanation: secx = 1 cosx So secx in undefined where cosx = 0, and that happens at odd multiples of π 2, like − π 2 and π 2. secx is undefined at − π 2 and π 2, so it is not continuous on the closed interval, [ − π 2, π 2]. It is continuous on the open interval ( − π 2, π 2). Answer link WebThe derivative of a continuous function f is given. Find the open intervals on which f is (a) increasing: (b) decreasing; and (c) find the x-values of all relative extrema. (a) For which interval/s) is the function increasing? Select the correct choice below and, if necessary, fill in the answer box within your choice. O A.
Module 8 - Continuity - Lesson 1 - Texas Instruments
WebA continuous function fis defined on the closed interval 4 6.−≤ ≤xThe graph of fconsists of a line segment and a curve that is tangent to the x-axis at x= 3, as shown in the figure above. On the interval 06,<0. Web2. Actually, to show that a function is continuous on an interval you need to show that the limits agree at every point in the interval: lim x → c f ( x) = f ( c), c ∈ ( a, b), in addition to … song face to face youtube
Answered: Use the given graph of fover the… bartleby
WebStudy with Quizlet and memorize flashcards containing terms like The function f is given by f(x)=0.1x4−0.5x3−3.3x2+7.7x−1.99. For how many positive values of b does limx→bf(x)=2 ?, A particle is moving on the x-axis and the position of the particle at time t is given by x(t), whose graph is given above. Which of the following is the best estimate for the speed of … Web20 de dez. de 2024 · Find the intervals on which f is increasing and decreasing, and use the First Derivative Test to determine the relative extrema of f, where f(x) = x2 + 3 x − 1. Solution We start by noting the domain of f: ( − ∞, 1) ∪ (1, ∞). Key Idea 3 describes how to find intervals where f is increasing and decreasing when the domain of f is an interval. WebThe Mean Value Theorem states that if a function f is continuous on the closed interval [a,b] and differentiable on the open interval (a,b), then there exists a point c in the interval (a,b) such that f' (c) is equal to the function's average rate of change over [a,b]. small engine repair baytown tx