SECONDARY MATH II // MODULE 4

MORE FUNCTIONS, MORE FEATURES – 4.2

Mathematics Vision Project

Licensed under the Creative Commons Attribution CC BY 4.0

mathematicsvisionproject.org

4.2

Needhelp?Visitwww.rsgsupport.org

READY Topic:Solvingabsolutevalueequations.Solveforx.(Youwillhavetwoanswers.)1. ! = 7 2. ! − 6 = 3 3. ! + 4 = 11 4.−9 ! = −63 5. 3! = 15 6. 3! − 5 = 11 7.− ! + 3 = −13 8. −4! = 64 9.2 ! + 1 − 7 = −3 10.5 ! + 3 − 1 = 9 11.−2 2! − 3 − 1 = −1112.Explainwhytheequation ! = −3hasnosolution.

SET Topic:ReadingthedomainandrangefromagraphStatethedomainandrangeofthepiece-wisefunctionsinthegraph.Useintervalnotation.

13.a.Domain:b.Range:

14.a.Domain:b.Range:

READY, SET, GO! Name PeriodDate

6

4

2

–2

–4

5 55 5

4

2

–2

–4

8

SECONDARY MATH II // MODULE 4

MORE FUNCTIONS, MORE FEATURES – 4.2

Mathematics Vision Project

Licensed under the Creative Commons Attribution CC BY 4.0

mathematicsvisionproject.org

4.2

Needhelp?Visitwww.rsgsupport.org

Writethepiece-wiseequationsforthegivengraphs.18. 19.

GO Topic:Transformationsonquadraticequations

Beginningwiththeparentfunction! ! = !!,writetheequationofthenewfunction! ! thatisatransformationof! ! asdescribed.Thengraphit.20.Shift! ! left3units, 21.Shift! ! right1, 22.Shift! ! up3units,stretchverticallyby2, stretchverticallyby3, left6,reflectvertically,reflect! ! vertically, andshiftup4units. andstretchby½andshiftdown5units.! ! = ______________________ ! ! = ______________________ ! ! = ______________________

4

2

–2

–4

–6

5

8

6

4

2

–2

5 10

10