Use the graph of the piece-wise function shown to determine the values of the quantities. Itf a t exist explain why. do...
Use the graph of g in the figure to find the following values if they exist. If a limit does not exist, explain why x-+1 d. lim g) e g(3)t im gx) g, lim g(x) h. g(4) İlim g(x) OA g1)(Type sn integer or a decimal) OB. The value g(1) does not exist because g is not defined stx=1. b. Select the correct answer below and, if necessary, flil in the answer box within your choice OA Iim gType an...
The function f(x) is given by the graph below: (a) Write a piece-wise formula for f(x): (b) Determine if each of the following graphs are simple (single shifts, scalings, or reflections) transformations of f(x). If it is, write a formula for the graph in terms of f. Otherwise, explain why it is not The function f(x) is given by the graph below: (a) Write a piece-wise formula for f(x): (b) Determine if each of the following graphs are simple (single...
Sketch the graph of the function.f(x) =4 + x if x < -2x2 if -2 = x < 26 - x if x = 2Use the graph to determine the values of a for whichlimx ? af(x)does not exist. (Enter your answers as a comma-separated list.)a =
For the function shown in the graph, find the indicated function value and limit. Find f(2) and lim f(x). O A. 1;3 OB. 1; does not exist OC. 1:1 OD. Does not exist does not exist For the function shown in the graph, find the indicated function value and limit. Find f(2) and lim f(x). X2 10 -10-8 -4.53 12 4 6 8 10
The graph of the function fis shown in the accompanying figure. (a) is f continuous at x = O No Why or why not? (Select all that apply.) Fa) is not defined lim Fx) - Fla) Olim Rx) does not exist limFX) exists There is a corner at x = pa) is defined Fx) exists F"(x) does not exist (b) is f differentiable at x = a? Justify your answer. (Select all that apply.) lim, Fx) exists lim FX) does...
11-12 Sketch the graph of the function and use it to determine the values of a for which lim, f(x) exists 1 x if x<- 11. f(x)-x if -1x< 2-x if x1 1>r>T- J} 11-12 Sketch the graph of the function and use it to determine the values of a for which lim, f(x) exists 1 x if xT- J}
For the function shown in the graph, find the indicated function value and limit. Find f(2) and lim f(x). O A. Does not exist; does not exist OB. 1:1 OC. 1:4 OD. 1; does not exist
12. Pind the limit (if it exists). If it doesn't exist explain why. Sometr) when - (311) 13. Use the graph to determine the limits and discuss the continuity at x=-1 + 1 - > -3 -2 -1 1 2 3 lim f(x) lim (x) lim/(x) Is The above function continuous at x=-1? 14. Find the values of x (if any) at which the function is not continuous. Which of the discontinuities is removable? f(x)= 7+67+8
Answer both and show work. 1y=fle) L-5. Given the graph of the function f(x) shown to the right-the same graph is - used for L-2. Identify any points where f(2) is not con- tinuous and explain why using precise mathematical statements in relation to how the definition of continuity is not sat- isfied. You may refer to work in L-2 rather than repeat it. L-3. Given the function g(2) defined piecewise below, determine each of the following values, showing clearly...
For the piecewise-defined function shown, find the following values, if they exist: a) lim f(x) = b) lim f(x) = c) limf(x) = d) f(2)= e) lim f(x) =