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- Below is a graph of the function g(x). Use this graph to complete the problems given below. a) lim x->2 g(x) =? b) lim x->0 g(x) =? c) lim x->4- g(x) =? d) lim x->4+ g(x) =? Based on the answrs in c and d does lim x->4 g(x) exist?1. Evaluate lim (2x-5) given its graph below. x →2 a.0 b. -1 c. 2 d. 1 2. Given the graph of f(x) below, evaluate its limit as x approaches 3. a.2 b. 3 c. 1 d. 0Sketch a graph of this function, and use the sketch to determine that values of a for which lim x (approaches) a f(x) exsists.
- The graph of a function f is given. A. At what numbers a does the lim x>a not exist? B. At what numbers a is f not continuous? C. At what numbers a does lim x > a exist, but f is not continuous at a?3. Sketch a graph of a function f(x) that satisfies the following:• lim x→−∞f(x) = −1• limx→∞f(x) = 2• x = 1 is a vertical asymptote of f• f0(x) is positive on (−∞, 1) and on (1, ∞)Sketch the graph of a function y = f(x) with all of the following properties: a) f ′(x) > 0 for −2 ≤ x < 1 b) f ′(2) = 0 c) f ′(x) > 0 for x > 2 d) f(2) = 2 and f(0) = 1 e) lim x → −∞ f(x) = 0 and lim x → ∞ f(x) = ∞ f) f ′(1) does not exists
- a)Find the domain of the function f and graph the domain of f. b) Show that lim (x,y) —>(0,1) f (x, y) cannot be found.Sketch the graph of an example of a function f that satisfies all of the given conditions. lim x→−1− f(x) = 0, lim x→−1+ f(x) = 1, lim x→2 f(x) = 3, f(−1) = 4, f(2) = 07. Let g(x) = -1/x2. Evaluate lim g(x) x→0 by drawing its graph. a. ∞ b. 1 c. 0 d. -∞ 8.Given the graph of f(x) below, evaluate its limit as x approaches 2 from the left. a. 2 b. - ∞ c. 0 d. -2
- Use the graph of the function h(x) given below to answer the questions that follow. (1) Evaluate h(−2) (a) Find lim x → −2- h(x) (b) Find lim x → -2+ h(x) (c) Use your answers from parts (b) and (c) to find lim x→-2 h(x).Let (x) = |x - 2| / x - 2 A) what is the domain of g(x)? B) Use numerical methods to find lim x—> 2- g(x) and lim x—> 2+ g(x). C) based on your answer to (b), what is lim x—> 2 g(x)? D) sketch an accurate graph of g(x) on the interval [-4,4]. Be sure to include any needed open or closed circles.Sketch an example of a graph of function f that meets the following conditions: Lim x > -3- f(x) = 3 Lim x > -3+ f(x) = 2 Lim x > -3 f(x) = -1 Lim x > 3+ f(x) = 2 F(-3) = 2 F(3) = 0