The graph of f is shown on the coordinate plane. Selected values for g are shown...

  

Transcribed Image Text:

The graph of f is shown on the coordinate plane. Selected values for g are shown in the table. Graph of f 4 3 2 1 04 -1 -2 -3 -8 x-values -6 -2 1 -4 g(x) values Limit values of g(x) x-2 lim_g(x)=5 -2 -1 4 lim g(x) = 4 X--1 0 4 2 lim g(x) = 0 X-0 4 5 3 6 lim g(x) = 2 X-5 X 8 a. Use the graph of f and the table of g to determine lim f(x) b. Find X-0 lim X-- 2f(x)-3 g(f(x)) according to limit theorems. (3 points) or explain why it does not exist. Use correct limit notation in your answer. (3 points) m(x) lim' c. If m(x) = x - 3 and n(x)=x-2-1, then find x-3n(x) Justify your answer and use correct limit notation in your work. (4 points) The graph of f is shown on the coordinate plane. Selected values for g are shown in the table. Graph of f 4 3 2 1 04 -1 -2 -3 -8 x-values -6 -2 1 -4 g(x) values Limit values of g(x) x-2 lim_g(x)=5 -2 -1 4 lim g(x) = 4 X--1 0 4 2 lim g(x) = 0 X-0 4 5 3 6 lim g(x) = 2 X-5 X 8 a. Use the graph of f and the table of g to determine lim f(x) b. Find X-0 lim X-- 2f(x)-3 g(f(x)) according to limit theorems. (3 points) or explain why it does not exist. Use correct limit notation in your answer. (3 points) m(x) lim' c. If m(x) = x - 3 and n(x)=x-2-1, then find x-3n(x) Justify your answer and use correct limit notation in your work. (4 points)