6.5 Notes
Square Root and Cube Root Functions
y x
y3 x
Domain:
Range:
Domain:
Range:
**When making the table, try to use values (inside the radical) that you can take the
cube/square root of. It will make simplifying without a calculator easier! You can still use
other values, just be prepared to use a calculator!
ya xh k
y  a3 x  h  k
(Recall vertex form!!!)
h = horizontal units
k = vertical units
y  x 1  3
vs. y  x
** y  x  1  3 has a starting point of (-1, 3), whereas y  x has a starting point of (0,0).
So we can say that the graph of y  x becomes y  x  1  3 when it is moved 1 unit to the
left, and three units down.
Example 1: Explain how to obtain the graph of y  3 x  2 1 from the graph of y  3 x .
Example 2: Explain how to obtain the graph of y x45 from the graph of y  x .
Example 3: Graph y  2 x  4 1. State the domain and range.
Domain:
Range:
Example 4: Graph y  23 x  3  1. State the domain and range.
Domain:
Range:
HW: p. 449 # 4, 6, 9, 10, 12, 16, 20, 22, 24