MAC1105 Lecture 6: 2.2 Graphs of Equations in Two Variables; Intercepts; Symmetry Notes
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2. 2 graphs of equations in two variables; intercepts; Provide a generalization to the terms listed in this section. What are intercepts: intercepts are points on a graph where the points touch or cross the coordinate axes, there are three di erent types of intercepts: X-intercepts are points on a graph where the points cross or touch the x-axis. Y -intercepts are points on a graph where the points cross or touch the y-axis. The origin is the only point on a graph where the point crosses or touches both the x-axis and y-axis. How do you nd the intercepts: x-intercepts. Substitute 0 for y, which is f (x). Solve for the x variable: y -intercepts. What is the axis of symmetry: the axis of symmetry is the line of symmetry for a graph, there are three di erent types of symmetry: If the graph has an x axis symmetry, then the original function, f (x), will be f (x).