Take Note Concept Summary Linear, Quadratic, and Exponential Functions

Linear: y = m x + b y equals m x plus b	Quadratic: y = a x 2 + b x + c y equals , eh x squared , plus b x plus c	Exponential: y = a · b x y equals eh middle dot , b to the x

Problem 1 Choosing a Model by Graphing

Graph each set of points. Which model is most appropriate for each set?

1. ( 1 , 3 ) , ( 0 , 0 ) , ( − 3 , 3 ) , ( − 1 , − 1 ) , ( − 2 , 0 ) open 1 comma 3 close comma open 0 comma 0 close comma open negative 3 comma 3 close comma open negative 1 comma negative 1 close comma open negative 2 comma 0 close

   

   Quadratic model

2. ( 0 , 2 ) , ( − 1 , 4 ) , ( 1 , 1 ) , ( 2 , 0.5 ) open 0 comma 2 close comma open negative 1 comma 4 close comma open 1 comma 1 close comma open 2 comma 0.5 close

   

   Exponential model

3. ( − 1 , − 2 ) , ( 0 , − 1 ) , ( 1 , 0 ) , ( 3 , 2 ) open negative 1 comma negative 2 close comma open 0 comma negative 1 close comma open 1 comma 0 close comma open 3 comma 2 close

   

   Linear model