CW#04
February 09, 2017
Quiz #3
1. How do you find the inverse of a function?
2. Given f(x) = ­32x5, find f ­1(x).
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use the four steps in the procedure
PEMDAS in reverses to solve
Opposite operations to both sides
isolate the variable and simplify!!!
opposite of power of n is nth root or 1/n power
1. write as y = 2. switch x and y
3. solve for y
4. write as f­1(x) =
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CW#04
February 09, 2017
Day/Date
Thursday, February 9
A#3: p. 442: #4 – 10, 15 – 19, 22 – 26
Due Now
Warm­Up
Finish Quiz #3
Classwork Due: EOP CW#4: 6.5, p. 446
A#4: p. 449: #6, 7, 9, 11, 12, 17 – 20, 29 – 32 Homework Due: 2/10 Learning Target Graph Square Root and Cube Root Functions
6.3 ­ 6.6 Quiz and 7.1 next Tuesday, 7.1 ­ 7.3 News and Notes
Quiz and 7.4a Thursday 2/23, half day tomorrow.
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CW#04
February 09, 2017
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CW#04
February 09, 2017
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CW#04
February 09, 2017
HA2 Questions 6.5
1. What are the general forms of the square root and cube root functions?
What are the parent functions? What do their basic graphs look like?
General Forms of Square and Cube Root Functions
Square root:
Cube root:
Parent Forms of Square and Cube Root Functions
Square root:
Cube root:
Graphs of Square and Cube Root Functions
this is why
is
always positive
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CW#04
February 09, 2017
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CW#04
February 09, 2017
2. How do you graph a square or cube root functions? How do you compare them to their parent functions? 1. Make a table of values (mind the domain)
2. Plot the points
3. Sketch the curve
Comparing a graph to the parent function
• compare domain and range
• consider transformations
> translations
> stretches or shrinks
> reflections
Example. Graph and compare.
X
X
Y
Y
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CW#04
February 09, 2017
Practice. Graph and compare to the parent function.
X
Y
X
Y
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CW#04
February 09, 2017
3. How do you graph a translation of a square or cube root function?
Graph the function without the
translation
2. Interpret the translation and shift the
graph vertically (k) and horizontally (h)
1.
Example. Graph.
X
X
Y
Y
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CW#04
February 09, 2017
Practice. Graph and state domain and range.
X
Y
X
Y
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CW#04
February 09, 2017
A#4: p. 449: #6, 7, 9, 11, 12, 17 – 20, 29 – 32
X
Y
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CW#04
February 09, 2017
Quiz #4
1. What is the procedure for graphing a translation of a square root or cube root function?
2. Graph. What are the domain and range?
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Attachments
GraphPaper20x20AxesUnits.bmp
blank number line.png