MATH 2A Lecture Notes - Lecture 3: Function Composition, Farad
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Math 2a - lecture 3 - new functions from old functions. By applying certain transformations to the graph of a given function, we can obtain the graph of certain related functions. This gives us the ability to sketch the graph of function by hand. Sketch the graph of function f(x) = x +2. These are the transformations that shift graphs upward, downward, to the left or to the right. Y=cf(x) stretches the graph of y=f(x) vertically by factor of c for the same reason. Y=1/c f(x) shrinks the graph of y=f(x) vertically by a factor of c. Y=f(cx) shrinks the graph of y=f(x) horizontally by a factor c. Y=f(x/c) stretches the graph of y=f(x) horizontally by a factor c. Y=-f(x) reflects the graph of f(x) about the x-axis. Y=f(-x) reflects the graph of f(x) about the y-axis. Given two functions f and g the composite function fog is defined as:
