Square Root And Cube Root Functions Worksheets Page 4

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6.5 Day 2 Graphing Square and Cube Roots
Date__________________
REVIEW:
Write the expression in simplest form
1) √
2. √
Perform the indicated operation and state the domain. f(x) = 2x + 9 and g(x) = 3x – 1
3. f(x) – g(x)
4. f(f(x))
5. f(x)·g(x)
Find the inverse of the function
3
6. f(x) = x
+ 5
NOTES:
GRAPHS OF RADICAL FUNCTIONS
x 
x 
3
To graph y = a
+ k or y =a
+ k, follow these steps:
h
h
a and (h,k) h effects x
a and k effects y
Graph a translated square root function
x 
Graph y = 3
+ 2. Then state the domain and range.
1
Step 1) T-Chart Use x’s : 0,1,4,9
Solution
Step 2) Ask what is being done to the
parent function? a =
h =
k =
Step 3) Do the same to the x’s and the
y’s in the t-chart
Step 4) Graph x’s and the new y’s
Domain:
Range:

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