Mat 117 What is a function? X=domain of f Vertical Line Test -cuts graph in more than one point. If it goes through more than one point it is not a function. To get domain: make sure you do not divide by 0 if problem has a sq route, 4th route, or 6th route make sure sign is positive or atleast 0 Even/odd functions -even f(-x)=f(x) the equal sign is the simplification -odd f(-x)=-f(x) symmetric to the orgin Symmetric to the Orgin first reflect across x-axis then reflect across y-axis **A function is increasing on interval (A,B) if for all x, y E (a,b) with x f(y)?.upper left to lower right Given graph y=f(x) assume c>0 F(x-c) in graph shifted right by c-units (Horizontal transition) F(x+c) in graph shifts to left by c unites (horizontal transition F(x)+c lifts graph up c units (vertical transition F(x)-c lifts graph down c-units (vertical transition) -f(x) reflects graph across x-axis
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