Day 2­ Square roots and cube roots.notebook
October 17, 2014
Objective: 6.4
Graph square root functions and cube root functions
Find the domain and range of each graph below
1
Day 2­ Square roots and cube roots.notebook
October 17, 2014
Introducing the Square Root Function!!
y= a x­h + k
The parent function...
1) y = x
Domain: _______________________
Range: ________________________
End Behavior:
2
Day 2­ Square roots and cube roots.notebook
October 17, 2014
2) y = 3 x­1 + 2
Domain: _______________________
Range: ________________________
Transformations:
End Behavior:
3
Day 2­ Square roots and cube roots.notebook
October 17, 2014
3) y = ­1/2 x+3 + 2
Domain: _______________________
Range: ________________________
Transformations:
End Behavior:
4
Day 2­ Square roots and cube roots.notebook
October 17, 2014
4) Write an equation for the square root function
that shifts 2 units to the right and 4 units down.
(Starting at the parent function.)
5) Write an equation for a square root function that
shifts left 5 units and 4 units up from the function
y=2 x-2 + 4.
5
Day 2­ Square roots and cube roots.notebook
October 17, 2014
Introducing the Cube Root Function!!
y = a 3 x­h +k
6) The parent function...
y = 3 x
6
Day 2­ Square roots and cube roots.notebook
October 17, 2014
7) y = ­2 3 x+3 8) y = 3 x­4 +4
7
Day 2­ Square roots and cube roots.notebook
October 17, 2014
Find the domain and range WITHOUT graphing
9) y= -2 x+3 -1
11) y = 3 x+3 +1
10) y= 2 x-3 -2
12) y= 4 x+7 +3
8