Lesson 63 Square Root Functions (Day 2)
with SOME Answers
Square Root Functions (Day 2)
Do Now:
1
Lesson 63 Square Root Functions (Day 2)
with SOME Answers
Finding the Domain Two Ways:
Method #1: Calculator (Table or Graph)
1a) Correctly input f(x) = 2 3x + 9 into your calculator.
1b) Write the domain. __________________________
Method #2: Algebraically
1c) Set the Radicand 3x + 9 > 0.
1d) Solve the inequality 3x + 9 > 0, for x, algebraically.
1e) Write the domain. ___________________________
2
Lesson 63 Square Root Functions (Day 2)
with SOME Answers
Finding the Domain Two Ways:
Method #1: Calculator (Table or Graph)
1a) Correctly input f(x) = 2 3x + 9 into your calculator.
1b) Write the domain. __________________________
Method #2: Algebraically
1c) Set the Radicand 3x + 9 > 0.
1d) Solve the inequality 3x + 9 > 0, for x, algebraically.
1e) Write the domain. ___________________________
3
Lesson 63 Square Root Functions (Day 2)
with SOME Answers
2) Draw the graph of y = - x + 3 on the set of axes below.
a) State the domain of the function.
b) State the range of the function.
c) State the transformation(s) from the parent function y = x .
4
Lesson 63 Square Root Functions (Day 2)
with SOME Answers
2) Draw the graph of y = - x + 3 on the set of axes below.
a) State the domain of the function.
b) State the range of the function.
c) State the transformation(s) from the parent function y = x .
5
Lesson 63 Square Root Functions (Day 2)
with SOME Answers
a) State the domain of the function.
b) State the range of the function.
6
Lesson 63 Square Root Functions (Day 2)
with SOME Answers
4) On the set of axes below, graph the following square root functions:
The parent function a(x) = x
b(x) = x + 3
c(x) = x - 3
d(x) = x + 3
e(x) = x - 3
f(x) = - x
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Lesson 63 Square Root Functions (Day 2)
with SOME Answers
4) On the set of axes below, graph the following square root functions:
The parent function a(x) = x
b(x) = x + 3
c(x) = x - 3
d(x) = x + 3
e(x) = x - 3
f(x) = - x
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Lesson 63 Square Root Functions (Day 2)
with SOME Answers
y
+ c is the graph of y = x translated UP “c” units
y
- c is the graph of y = x translated
y = x + c is the graph of y = x translated to the
“c” units
y = x - c is the graph of y = x translated to the
“c” units
5. y = - x is the graph of y = x reflected over the x-axis.
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Lesson 63 Square Root Functions (Day 2)
with SOME Answers
5)
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