L ESSON 8.2 Step Functions. S TEP F UNCTIONS Piecewise functions Graphs look like stair steps.

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Presentation transcript:

L ESSON 8.2 Step Functions

S TEP F UNCTIONS Piecewise functions Graphs look like stair steps

F LOOR F UNCTION The output is the greatest integer that is less than or equal to the input. Examples:

C EILING F UNCTION The output is the least integer that is greater than or equal to the input. Examples:

GRAPHING STEP FUNCTIONS Make a table of values. X-2012 F(x) This doesn’t make the steps. You need to use decimals to get the steps.

E XAMPLE 1: Graph

E XAMPLE 2: Graph

T RANSFORMING STEP F UNCTIONS General Form Moves graph left/right Moves graph up/down Controls the “height” of the stepsof Controls the length of the stepsthe

E XAMPLE 3 Describe the transformation to the parent function, : a.b.

S OLVING S TEP E QUATIONS What does x have to be? 1.x =

E XAMPLE 4: Solve

Y OUR T URN … Solve

E XAMPLE 5: You travel to a lake and want to rent a paddle boat. They charge $7 for every 15 minutes plus a flat fee of $25 for insurance. Create an equation to model this situation.

H OMEWORK Worksheet 8.2