At left below is the graph of f(x) = 2ª , with points (0, 1) and (1, 2) marked. The graph of the function g(x) = 2"–2 – 1 is obtained from that of f by a combination of horizontal and vertical translations. You are to plot g on the axes at right below after first determining the following geometric information. Indicate on your graph the images of the two points and the asymptote under the geometric transformation. Translate horizontally by units. Translate vertically by units. An equation for the horizontal asymptote of the graph of g is 20 15 14 12 10 10 5- Clear All Draw: -8 -7 -6 -5 -3 -2 -1 1 2 3 4 5 6 7.

Q: 0.5+ 100 20 300 400 500 -1.5- -2.5-

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.