Piecewise Defined Functions Condition Expression to use when condition is true Expression to use when condition is false Piecewise Defined Functions Try entering and graphing the following function Piecewise Defined Functions Absolute Value Function Whatever you put into the function comes out positive -3 ...
Greatest Integer/Step Functions A greatest integer function is denoted as f(x) = [|x|] – Largest integer less than or equal to x – f(3.1) = 3, f(5.9) = 5, f(0) = 0 – What is f(-3.4)? To graph, we must identify the “jumps” in the values Open Dots = Closed Dots ...
PiecewiseFunction:AfunctiondefinedbyusingtwoormorerulesontwoormoreintervalsThegraphismadeupoftwoormorepiecesofsimilarordifferentfunctionsDistance-TimeGizmo(notdirectlyrelatedtoPiecewiseFunctions):goo.gl/yPEFb9 AbsoluteValueFunction Ifwerestrictthedomainofy=-xandy=x,wegettheabsolutevaluefunction 4 ...
•PiecewiseFunctionisdefinedbyatleast twoequations,eachofwhichappliestoa differentpartifthefunction’sdomain. •Pointofdiscontinuity–pointsonthe graphofafunctioninwhichthereisa break,holeorgaps. Whatdoestheequationlooklike??? 21,1 31,1 xifx fx xifx •Oneequationgivesthevalueoff(x) whenx≤1 ...
•Basemodel:–Sisafinitesetofstatesoftheworld;–Aisafinitesetofactions;–:SxA→(S)isthestatetransitionfunction;–r:SxA→istherewardfunction;–Zisafinitesetofobservationstheagentcanexperienceofthe world;–o:SxA→(Z)istheobservationfunction,whichgives,for eachactionandresultingstateadistributionoverobservations...
(S)isthestatetransitionfunction; –r:SxA→ istherewardfunction; –Zisafinitesetofobservationstheagentcanexperienceofthe world; –o:SxA→ (Z)istheobservationfunction,whichgives,for eachactionandresultingstateadistributionoverobservations. •Wedefine: –B= (S)isthesetofallbeliefstates;thebeliefstateisa ...
PiecewiseFunction:AfunctiondefinedbyusingtwoormorerulesontwoormoreintervalsThegraphismadeupoftwoormorepiecesofsimilarordifferentfunctionsDistance-TimeGizmo(notdirectlyrelatedtoPiecewiseFunctions):goo.gl/yPEFb9 AbsoluteValueFunction Ifwerestrictthedomainofy=-xandy=x,wegettheabsolutevaluefunction 4 ...
–––––Sisafinitesetofstatesoftheworld;Aisafinitesetofactions;:SxA→(S)isthestatetransitionfunction;r:SxA→ℜistherewardfunction;Zisafinitesetofobservationstheagentcanexperienceoftheworld;–o:SxA→(Z)istheobservationfunction,whichgives,foreachactionandresultingstateadistributionoverobservations.•Wedefine:...
Cube Function Square Root Function Reciprocal Function Absolute Value Function f(x) = |x| When functions are defined by more than one equation, they are called piece-wise defined functions. For the following function a) Find f(-1), f(1), f(3). b) Find the domain. c)Sketch the graph...
Suppose a piece- wise regression model of K segments is represented by g(E(Y)) = f (X) + βh(z; ψ) where Y is the response, g(·) represents the link function for E(Y), f (X) is the predictor allowing any variable with a linear parameter, and h(z; ψ) is the non-...