1.TopHat 1.Review of stats for g(x)=c 2.Check Hmk 1.Domain Basic Functions 2.Graph Basic Functions 3.End behavior 2.Reflections of F(x) (On board y=x 2, y=Ln(x), y=x 1/3, y=e x ) – Y=-F(x) – Y=F(-x) – Y=|f(x)|Absolute value function – Translations – Combinations

Finding Equations from Graph or Data (two coordinate axes) The function O(x) below represents the number of otters per mile along the coast of California, where x represents the number of miles from the border with Mexico. “Helper” coordinates “Helper” coordinates Perform Translations

COMPARING FUNCTIONS Consider the functions 1.For which values in their common domain is 1.Toward the end points of the common domain which of the two functions dominate?

Common domain Graphical Solution Algebraic Solution number line

Common domain Graphical Solution OPERATIONS (no quotient yet)

Polynomials Degree of polynomial and number of turns

Relationship between number of turns and degree of polynomial Activity Sketch on the board graphs of polynomials and ask for possible degree of polynomials All turns shown Minimum number of turns shown

Show that the equation of this polynomial is the one given.