MAT 1320 Lecture 3: TN2

• School: University of Ottawa
• Department: Mathematics
• Course: MAT 1320
• Professor: Jason Levy

Document Summary

Y = f (x) + c shift the graph of f c units Y = f (x + c) shift the graph of f c units: stretching and re ecting (assume c 0) Y = cf (x) stretch the graph of f by a factor ofin direction Y = f (cx) stretch the graph of f by a factor ofin direction Y = f (x) re ect the graph of f about Y = f ( x) re ect the graph of f about Mat 1320 lecture 2: combinations of functions. (f g)(x) = f (x) g(x) ( f g )(x) = f (x) g(x) Domain: composition (f g)(x) = f (g(x)) 4 f (x) = bx, (base) a positive constant. Exponential functions x z: x = p q : x irrational: graph, laws of exponents: (a, b positive constants) Mat 1320 lecture 2: natural exponential function: