Lesson 6­3 Square Root Functions and Inequalities with answers.notebook
April 16, 2015
Lesson 6­3 Square Root Functions and Inequalities
square root function ­ a function that contains the square root of a variable (a square root function is a type of radical function)
Example 1
Identify the domain and range of f(x) = √x ­ 2
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Lesson 6­3 Square Root Functions and Inequalities with answers.notebook
April 16, 2015
Transformations of Square Root Functions
f(x) = a√x ­ h + k
h ­ horizontal translation √x + h is to the left
√x ­ h is to the right
k ­ vertical translation
√x + k is up
√x ­ k is down
a ­ orientation and shape
if negative ­ reflected over x­axis
if |a| > 1, stretched vertically
if 0<|a|<1, compressed vertically
Example 2
Graph each function. State the domain and range.
a. y = 3√x ­ 4 + 2
b. y = ­√x + 5 ­ 6
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Lesson 6­3 Square Root Functions and Inequalities with answers.notebook
April 16, 2015
square root inequality ­ an inequality involving square roots
remember to use solid/dashed lines and to shade
Example 3
graph y > √3x + 5
b. graph f(x) ≤ ­ √x + 2 ­ 4
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Lesson 6­3 Square Root Functions and Inequalities with answers.notebook
April 16, 2015
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