Solving Radical Inequalities

25

22 x

x

xx

x

4

33

Find the domain of each of the following:

f(x) = f(x) =

Solving Radical Inequalities

25

22 x

x

xx

x

4

33

Find the domain of each of the following:

f(x) = f(x) =

𝒙𝟐− 𝟐𝟓 > 𝟎

rad > 𝟎

𝒙 − 𝟓 𝒙 + 𝟓 = 𝟎

𝒙 = 𝟓 𝒙 = −𝟓

D: {x| 𝑥 < −5 𝑜𝑟 𝑥 > 5}

𝒙(𝒙𝟐−𝟒) > 𝟎

𝒙 𝒙 − 𝟐 𝒙 + 𝟐 = 𝟎 𝒙 = 𝟎 𝒙 = 𝟐 𝒙 = −𝟐

−𝟐 𝟎 𝟐 −𝟑 −𝟏 𝟏 𝟑

Ans: (-2, 0) ∪ (2, )

Ans: D:{-2 < 𝒙 < 𝟎 ∪ 𝒙 > 𝟐}

Solving Radical Inequalities

Make a sign analysis chart

Step 4 Answer

Make a sign analysis chart

Step 4 Answer

Page 18 in Packet

𝒚 = 𝒙

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Vertex of 𝒚 = 𝒂 𝒙 − 𝒉 + 𝒌

Vertex = ( ____, ____ )

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-8, 3

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Reflected across the x-axis

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narrower

wider

Vertical “strectch”

Vertical “shrink”

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