MAT 1300 Lecture Notes - Lecture 2: Farad, Asymptote

• School: University of Ottawa
• Department: Mathematics
• Course: MAT 1300
• Professor: Dongyang Kuang

Document Summary

The standard xy grid that the 2d graphs are on (https://tex. stackexchange. com/questions/222882/drawing-minimal-xy-axis) |x| is the absolute value of x, meaning that it is the positive part" of x. Therefore, when we put the two together, y=|x|. (http://mathcentral. uregina. ca/qq/database/qq. 09. 08/h/tiana1. html) To find a root, or x intercept, on the graph, equal the equation to 0 and solve for x. Therefore, the x-intercept of the graph is at (-3,0) (https://www. algebra. com/algebra/homework/graphs/graphs. faq. question. 653462. html) X-intercepts: occurs where the graph crosses the x-axis. There can be non, any finite number, and infinitely many. Y-intercepts: the y-intercept is where the graph crosses the y-axis. Ex: find x and y intercepts for y=x2-7x+12 x-intercepts: this is a simple trinomial, use the man technique. The x intercepts are (3,0) and (4,0). y-intercepts: remember to sub 0 in for x y= (0)2- 7(0) +12 y=12. It can be concave up or concave down. (http://ltcconline. net/greenl/courses/105/curvesketching/sectst. htm) The parabola is concave up when a> 0. The parabola is concave down when a< 0.