5. [0.25/05 Points] DETAILS PREVIOUS ANSWERS SCALCET8 2.5.017. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Explain why the function is discontinuous at the given number a. (Select all that apply.) 1 X+5 x): a:5 lim f(x) and lim f(x) exist, but are not equal. 0 x_.5* x_.5' O f(5) and lim f(x) exist, but are not equal. X975 0 lim f(X) does not exist. xaS O f(5) IS undefined. 0 none of the above 6. [0.25/0.5 Points] DETAILS PREVIOUS ANSWERS SCALCET8 2.5.020. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Explain why the function is discontinuous at the given number a. (Select all that apply.) X2 - 4x f ( x ) = if x # 4 X2 - 16 a = if x = 4 lim f(x) does not exist. x -+ 4 lim f(x) and lim f(x) are finite, but are not equal. x - 4+ X- 4- Of(4) is defined and lim f(x) is finite, but they are not equal. x - 4 O f(4) is undefined. O none of the above1. [0/0.5 Points] DETAILS PREVIOUS ANSWERS SCALCET8 2.5.002. MY NOTES ASK YOUR TEACHER If f is continuous on (-co, co), what can you say about its graph? (Select all that apply.) The graph of f has a hole. The graph of f has a jump. The graph of f has a vertical asymptote. none of these X Enhanced Feedback Please try again. Remember that a function is continuous at a number when both the limit and the value of the function exist and are equal at that number. Submit Answer. [0.26/05 Points] PREVIOUS ANSWERS SCALCET8 2.5.003.M|. ASK YOU R TEACHER From the graph of f, state each x-value at which fis discontinuous. For each x-value, determine whether flS continuous from the right, or from the left, or neither. (Enter your answers from smallest to largest.) x = (smallest value) 0 continuous from the right O continuous from the left 0 neither X=l l 0 continuous from the right 0 continuous from the left 0 neither 0 continuous from the right O continuous from the left O neither J x = lar est value l l( g ) '_%