1.2 Parent Function Worksheet

1-2 Parent Function Worksheet
Algebra 2
Name: ____________________
For each function: name the parent function, write the parent function, sketch the function, and
find the domain and the range.
1.
𝑓(π‘₯) = 3π‘₯ 3
2. 𝑓(π‘₯) = βˆ’4
Name of parent function ______________
Name of parent function ________
Parent function __________________
Parent function _______________
Domain _________
Domain______________________
Range __________
Range _______________________
3. 𝑓(π‘₯) = √π‘₯ βˆ’ 2
4. 𝑓(π‘₯) = (π‘₯ + 2)2
Name of parent function ______________
Name of parent function ________
Parent function __________________
Parent function _______________
Domain _________
Domain ______________________
Range __________
Range _______________________
5. 𝑓(π‘₯) = √π‘₯ βˆ’ 3
6. 𝑓(π‘₯) = (π‘₯ βˆ’ 1)2
Name of parent function ______________
Name of parent function ________
Parent function __________________
Parent function _______________
Domain _________
Domain______________________
Range __________
Range _______________________
7. 𝑓(π‘₯) = π‘₯ 3 βˆ’ 2
8. 𝑓(π‘₯) = 2π‘₯ + 3
Name of parent function ______________
Name of parent function ________
Parent function __________________
Parent function _______________
Domain _________
Domain______________________
Range __________
Range _______________________
9. 𝑓(π‘₯) = (π‘₯ βˆ’ 2)3
10. 𝑓(π‘₯) = βˆ’2π‘₯ βˆ’ 3
Name of parent function ______________
Name of parent function ________
Parent function __________________
Parent function _______________
Domain _________
Domain______________________
Range __________
Range _______________________
11. 𝑓(π‘₯) = βˆ’βˆšπ‘₯
12. 𝑓(π‘₯) = π‘₯ 2 βˆ’ 2
Name of parent function ______________
Name of parent function ________
Parent function __________________
Parent function _______________
Domain _________
Domain______________________
Range __________
Range _______________________
13. 𝑓(π‘₯) = βˆ’2π‘₯ 3
14. 𝑓(π‘₯) = 3√π‘₯ βˆ’ 1
Name of parent function ______________
Name of parent function ________
Parent function __________________
Parent function _______________
Domain _________
Domain______________________
Range __________
Range _______________________
15. 𝑓(π‘₯) = βˆ’3π‘₯ 2+ 5
16. 𝑓(π‘₯) = 2(π‘₯ + 3)
Name of parent function ______________
Name of parent function ________
Parent function __________________
Parent function _______________
Domain _________
Domain______________________
Range __________
Range ______________________