Hello, can you help me out? I just really need this to learn. I would really appreciate if you would help me out. Thank you so much!

ACTIVITIES Activity #1: Solve and Identify! Determine if the given functions f(x) are continuous or not at the given value of x. Show your complete solution. 1. f(x) = 2x2 +7x -5 at x = -2 Answer: 2. f(x) = 3x3 - 2x2 + 11 atx = 3 Answer: 3. f(x) = atx= -3 Answer:_ 4. f(x) = at x = 4 Answer: 5. f(x) = Vx2 - 4 at x = 1 Answer: Q2 Week No.3 Competency Code: Competencies: 1. Illustrates continuity of the function at a number. STEM_BC11LC-IIIc-1 2. Determines whether a function is continuous at a number or not. STEM_BC11LC-IIIc-2 3. Illustrates continuity of the function at an interval. STEM_BC11LC-IlIc-3 Solves problems involving continuity of a function. STEM_BC11LC-IIId-3 Activity #2: Am I Continuous or Discontinuous? Determine if the given function is continuous on each of the given intervals. A. f(x)= x3 - 2x2 + 3x - 5 1. [-1, 1] 2. (0, 4) B. f (x)= 1. (6, 10) 2. [1, 6] C. f(x) = 1-9xl 1. [2, 2] 2. (0, +00) ID D. f (x) = V3x -1 1. (1, 5) 2. (-00, -1] Activity 3: A. Prove me that it is correct. DIRECTION: Tell whether each given function has a solution on the indicated closed interval. Prove using the IVT. 1. f(x) = 5x2 - x - 1; [1,2] B. Sketch and Label Me. DIRECTION: Sketch the graph of the following functions and then find the absolute extreme values of each of the given interval. 1. f (x) = Vx2 - 25; [5, 10]