6.5.notebook
December 13, 2016
Bell Work
Objective
1. Find the inverse of f(x) = x + 4.
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2. Verify that your result from question 1 and the original function are inverses.
3. What is the Substitution Method?
Students will learn what the
graphs of square root and cube
root functions look like by
graphing a variety of square root
and cube root functions.
Dec 1­11:04 AM
6.5 Graph Square Root & Cubic Functions
Dec 13­8:55 AM
12/13
radical function: functions that contain radicals
Parent Functions:
Ex. 1: Graph y = 1/2 √x, and state the domain and range. Compare it with the graph of y = √x.
Domain: x ≥ 0 Range: y ≥ 0
Dec 8­4:19 PM
Ex. 2: Graph y = ­3 ∛x, and state the domain and range. Compare it with the graph of y = ∛x.
Dec 8­4:33 PM
Dec 8­4:29 PM
Translations of Radical Functions
To graph y = a√x ­ h + k or y = a∛x ­ h + k follow these steps:
Step 1~ Sketch a graph of y = a√x or y = a∛x
Step 2~ Translate the graph horizontally h units and vertically k units.
Dec 9­7:48 AM
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6.5.notebook
December 13, 2016
Ex. 4: Graph y = ­2√x ­ 3 + 2.
Ex. 5: Graph y = 3∛x + 4 ­ 1.
Dec 9­7:55 AM
Dec 9­7:59 AM
6.5 p. 449 #16­24 evens
Wrap It Up...
What causes the graph of a radical function to have a ...
Graph the function. List the translations and state the domain & range.
1. vertical stretch or shrink?
2. translation, and how is it translated?
16. f(x) = 2√x ­ 1 + 3
18. y = ­4√x ­ 5 + 1
20. y = ­2∛x + 5 + 5
22. y = ­√x ­ 4 ­ 7
24. y = 4∛x ­ 4 + 5
3. Do h and k work the same way with translating all graphs? Explain.
Dec 12­3:14 PM
Dec 9­10:12 AM
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